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Finding the Fourth Proportional to 532.77, 735.44 and 414.78

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Solution

The fourth proportional to 532.77, 735.44 and 414.78 is: 572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.77 : 735.44 = 414.78 : x
  2. Step 2: Convert to fraction form
    532.77/735.44 = 414.78/x
  3. Step 3: Cross multiply
    532.77x = 735.44 × 414.78
  4. Step 4: Simplify right side
    532.77x = 305,043.73
  5. Step 5: Solve for x
    x = 305,043.73/532.77
  6. Step 6: Final answer
    x = 572.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.