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Finding the Fourth Proportional to 532.47, 793.93 and 522.75

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Solution

The fourth proportional to 532.47, 793.93 and 522.75 is: 779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.47 : 793.93 = 522.75 : x
  2. Step 2: Convert to fraction form
    532.47/793.93 = 522.75/x
  3. Step 3: Cross multiply
    532.47x = 793.93 × 522.75
  4. Step 4: Simplify right side
    532.47x = 415,025.60
  5. Step 5: Solve for x
    x = 415,025.60/532.47
  6. Step 6: Final answer
    x = 779.43

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Why These Related Problems?

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