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Finding the Fourth Proportional to 658.49, 908.75 and 409.82

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Solution

The fourth proportional to 658.49, 908.75 and 409.82 is: 565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.49 : 908.75 = 409.82 : x
  2. Step 2: Convert to fraction form
    658.49/908.75 = 409.82/x
  3. Step 3: Cross multiply
    658.49x = 908.75 × 409.82
  4. Step 4: Simplify right side
    658.49x = 372,421.88
  5. Step 5: Solve for x
    x = 372,421.88/658.49
  6. Step 6: Final answer
    x = 565.57

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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.