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Finding the Fourth Proportional to 477.20, 715.13 and 282.25

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Solution

The fourth proportional to 477.20, 715.13 and 282.25 is: 422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.20 : 715.13 = 282.25 : x
  2. Step 2: Convert to fraction form
    477.20/715.13 = 282.25/x
  3. Step 3: Cross multiply
    477.20x = 715.13 × 282.25
  4. Step 4: Simplify right side
    477.20x = 201,845.98
  5. Step 5: Solve for x
    x = 201,845.98/477.20
  6. Step 6: Final answer
    x = 422.98

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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.