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Finding the Fourth Proportional to 658.82, 909.11 and 409.95

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Solution

The fourth proportional to 658.82, 909.11 and 409.95 is: 565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.82 : 909.11 = 409.95 : x
  2. Step 2: Convert to fraction form
    658.82/909.11 = 409.95/x
  3. Step 3: Cross multiply
    658.82x = 909.11 × 409.95
  4. Step 4: Simplify right side
    658.82x = 372,689.64
  5. Step 5: Solve for x
    x = 372,689.64/658.82
  6. Step 6: Final answer
    x = 565.69

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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.