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Finding the Fourth Proportional to 658.79, 909.24 and 422.67

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Solution

The fourth proportional to 658.79, 909.24 and 422.67 is: 583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.79 : 909.24 = 422.67 : x
  2. Step 2: Convert to fraction form
    658.79/909.24 = 422.67/x
  3. Step 3: Cross multiply
    658.79x = 909.24 × 422.67
  4. Step 4: Simplify right side
    658.79x = 384,308.47
  5. Step 5: Solve for x
    x = 384,308.47/658.79
  6. Step 6: Final answer
    x = 583.36

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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.