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Finding the Fourth Proportional to 472.14, 708.89 and 410.63

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Solution

The fourth proportional to 472.14, 708.89 and 410.63 is: 616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.14 : 708.89 = 410.63 : x
  2. Step 2: Convert to fraction form
    472.14/708.89 = 410.63/x
  3. Step 3: Cross multiply
    472.14x = 708.89 × 410.63
  4. Step 4: Simplify right side
    472.14x = 291,085.90
  5. Step 5: Solve for x
    x = 291,085.90/472.14
  6. Step 6: Final answer
    x = 616.52

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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.