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Finding the Fourth Proportional to 658.50, 906.89 and 569.22

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Solution

The fourth proportional to 658.50, 906.89 and 569.22 is: 783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.50 : 906.89 = 569.22 : x
  2. Step 2: Convert to fraction form
    658.50/906.89 = 569.22/x
  3. Step 3: Cross multiply
    658.50x = 906.89 × 569.22
  4. Step 4: Simplify right side
    658.50x = 516,217.08
  5. Step 5: Solve for x
    x = 516,217.08/658.50
  6. Step 6: Final answer
    x = 783.93

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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.