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Finding the Fourth Proportional to 658.10, 907.47 and 565.16

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Solution

The fourth proportional to 658.10, 907.47 and 565.16 is: 779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.10 : 907.47 = 565.16 : x
  2. Step 2: Convert to fraction form
    658.10/907.47 = 565.16/x
  3. Step 3: Cross multiply
    658.10x = 907.47 × 565.16
  4. Step 4: Simplify right side
    658.10x = 512,865.75
  5. Step 5: Solve for x
    x = 512,865.75/658.10
  6. Step 6: Final answer
    x = 779.31

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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.