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Finding the Fourth Proportional to 477.29, 715.17 and 294.30

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Solution

The fourth proportional to 477.29, 715.17 and 294.30 is: 440.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.29 : 715.17 = 294.30 : x
  2. Step 2: Convert to fraction form
    477.29/715.17 = 294.30/x
  3. Step 3: Cross multiply
    477.29x = 715.17 × 294.30
  4. Step 4: Simplify right side
    477.29x = 210,474.53
  5. Step 5: Solve for x
    x = 210,474.53/477.29
  6. Step 6: Final answer
    x = 440.98

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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.