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Finding the Fourth Proportional to 472.47, 708.01 and 414.55

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Solution

The fourth proportional to 472.47, 708.01 and 414.55 is: 621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.47 : 708.01 = 414.55 : x
  2. Step 2: Convert to fraction form
    472.47/708.01 = 414.55/x
  3. Step 3: Cross multiply
    472.47x = 708.01 × 414.55
  4. Step 4: Simplify right side
    472.47x = 293,505.55
  5. Step 5: Solve for x
    x = 293,505.55/472.47
  6. Step 6: Final answer
    x = 621.22

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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.