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Finding the Fourth Proportional to 658.21, 908.48 and 409.72

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Solution

The fourth proportional to 658.21, 908.48 and 409.72 is: 565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.21 : 908.48 = 409.72 : x
  2. Step 2: Convert to fraction form
    658.21/908.48 = 409.72/x
  3. Step 3: Cross multiply
    658.21x = 908.48 × 409.72
  4. Step 4: Simplify right side
    658.21x = 372,221.18
  5. Step 5: Solve for x
    x = 372,221.18/658.21
  6. Step 6: Final answer
    x = 565.51

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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.