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Finding the Fourth Proportional to 477.14, 715.04 and 282.19

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Solution

The fourth proportional to 477.14, 715.04 and 282.19 is: 422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.14 : 715.04 = 282.19 : x
  2. Step 2: Convert to fraction form
    477.14/715.04 = 282.19/x
  3. Step 3: Cross multiply
    477.14x = 715.04 × 282.19
  4. Step 4: Simplify right side
    477.14x = 201,772.15
  5. Step 5: Solve for x
    x = 201,772.15/477.14
  6. Step 6: Final answer
    x = 422.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.