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Finding the Fourth Proportional to 658.89, 909.29 and 410.02

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Solution

The fourth proportional to 658.89, 909.29 and 410.02 is: 565.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.89 : 909.29 = 410.02 : x
  2. Step 2: Convert to fraction form
    658.89/909.29 = 410.02/x
  3. Step 3: Cross multiply
    658.89x = 909.29 × 410.02
  4. Step 4: Simplify right side
    658.89x = 372,827.09
  5. Step 5: Solve for x
    x = 372,827.09/658.89
  6. Step 6: Final answer
    x = 565.84

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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.