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Finding the Fourth Proportional to 665.96, 919.14 and 433.16

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Solution

The fourth proportional to 665.96, 919.14 and 433.16 is: 597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.96 : 919.14 = 433.16 : x
  2. Step 2: Convert to fraction form
    665.96/919.14 = 433.16/x
  3. Step 3: Cross multiply
    665.96x = 919.14 × 433.16
  4. Step 4: Simplify right side
    665.96x = 398,134.68
  5. Step 5: Solve for x
    x = 398,134.68/665.96
  6. Step 6: Final answer
    x = 597.84

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.