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Finding the Fourth Proportional to 658.53, 907.97 and 533.73

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Solution

The fourth proportional to 658.53, 907.97 and 533.73 is: 735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.53 : 907.97 = 533.73 : x
  2. Step 2: Convert to fraction form
    658.53/907.97 = 533.73/x
  3. Step 3: Cross multiply
    658.53x = 907.97 × 533.73
  4. Step 4: Simplify right side
    658.53x = 484,608.16
  5. Step 5: Solve for x
    x = 484,608.16/658.53
  6. Step 6: Final answer
    x = 735.89

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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.