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Finding the Fourth Proportional to 684.68, 945.24 and 436.16

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Solution

The fourth proportional to 684.68, 945.24 and 436.16 is: 602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.68 : 945.24 = 436.16 : x
  2. Step 2: Convert to fraction form
    684.68/945.24 = 436.16/x
  3. Step 3: Cross multiply
    684.68x = 945.24 × 436.16
  4. Step 4: Simplify right side
    684.68x = 412,275.88
  5. Step 5: Solve for x
    x = 412,275.88/684.68
  6. Step 6: Final answer
    x = 602.14

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Double scale
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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.