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Finding the Fourth Proportional to 658.76, 906.77 and 565.41

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Solution

The fourth proportional to 658.76, 906.77 and 565.41 is: 778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.76 : 906.77 = 565.41 : x
  2. Step 2: Convert to fraction form
    658.76/906.77 = 565.41/x
  3. Step 3: Cross multiply
    658.76x = 906.77 × 565.41
  4. Step 4: Simplify right side
    658.76x = 512,694.00
  5. Step 5: Solve for x
    x = 512,694.00/658.76
  6. Step 6: Final answer
    x = 778.28

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1.5x scale

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.