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Finding the Fourth Proportional to 532.88, 735.77 and 524.37

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Solution

The fourth proportional to 532.88, 735.77 and 524.37 is: 724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.88 : 735.77 = 524.37 : x
  2. Step 2: Convert to fraction form
    532.88/735.77 = 524.37/x
  3. Step 3: Cross multiply
    532.88x = 735.77 × 524.37
  4. Step 4: Simplify right side
    532.88x = 385,813.09
  5. Step 5: Solve for x
    x = 385,813.09/532.88
  6. Step 6: Final answer
    x = 724.02

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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.