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Finding the Fourth Proportional to 472.50, 708.06 and 414.59

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Solution

The fourth proportional to 472.50, 708.06 and 414.59 is: 621.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 708.06 = 414.59 : x
  2. Step 2: Convert to fraction form
    472.50/708.06 = 414.59/x
  3. Step 3: Cross multiply
    472.50x = 708.06 × 414.59
  4. Step 4: Simplify right side
    472.50x = 293,551.06
  5. Step 5: Solve for x
    x = 293,551.06/472.50
  6. Step 6: Final answer
    x = 621.27

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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.