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Finding the Fourth Proportional to 477.17, 715.16 and 281.97

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Solution

The fourth proportional to 477.17, 715.16 and 281.97 is: 422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.17 : 715.16 = 281.97 : x
  2. Step 2: Convert to fraction form
    477.17/715.16 = 281.97/x
  3. Step 3: Cross multiply
    477.17x = 715.16 × 281.97
  4. Step 4: Simplify right side
    477.17x = 201,653.67
  5. Step 5: Solve for x
    x = 201,653.67/477.17
  6. Step 6: Final answer
    x = 422.60

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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.