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Finding the Fourth Proportional to 532.10, 793.37 and 522.38

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Solution

The fourth proportional to 532.10, 793.37 and 522.38 is: 778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.10 : 793.37 = 522.38 : x
  2. Step 2: Convert to fraction form
    532.10/793.37 = 522.38/x
  3. Step 3: Cross multiply
    532.10x = 793.37 × 522.38
  4. Step 4: Simplify right side
    532.10x = 414,436.00
  5. Step 5: Solve for x
    x = 414,436.00/532.10
  6. Step 6: Final answer
    x = 778.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.