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Finding the Fourth Proportional to 477.28, 715.97 and 152.57

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Solution

The fourth proportional to 477.28, 715.97 and 152.57 is: 228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.28 : 715.97 = 152.57 : x
  2. Step 2: Convert to fraction form
    477.28/715.97 = 152.57/x
  3. Step 3: Cross multiply
    477.28x = 715.97 × 152.57
  4. Step 4: Simplify right side
    477.28x = 109,234.78
  5. Step 5: Solve for x
    x = 109,234.78/477.28
  6. Step 6: Final answer
    x = 228.87

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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.