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Finding the Fourth Proportional to 658.65, 909.05 and 422.54

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Solution

The fourth proportional to 658.65, 909.05 and 422.54 is: 583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.65 : 909.05 = 422.54 : x
  2. Step 2: Convert to fraction form
    658.65/909.05 = 422.54/x
  3. Step 3: Cross multiply
    658.65x = 909.05 × 422.54
  4. Step 4: Simplify right side
    658.65x = 384,103.33
  5. Step 5: Solve for x
    x = 384,103.33/658.65
  6. Step 6: Final answer
    x = 583.17

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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.