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Finding the Fourth Proportional to 684.24, 944.40 and 463.20

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Solution

The fourth proportional to 684.24, 944.40 and 463.20 is: 639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.24 : 944.40 = 463.20 : x
  2. Step 2: Convert to fraction form
    684.24/944.40 = 463.20/x
  3. Step 3: Cross multiply
    684.24x = 944.40 × 463.20
  4. Step 4: Simplify right side
    684.24x = 437,446.08
  5. Step 5: Solve for x
    x = 437,446.08/684.24
  6. Step 6: Final answer
    x = 639.32

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Half scale
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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.