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Finding the Fourth Proportional to 658.83, 909.90 and 438.72

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Solution

The fourth proportional to 658.83, 909.90 and 438.72 is: 605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.83 : 909.90 = 438.72 : x
  2. Step 2: Convert to fraction form
    658.83/909.90 = 438.72/x
  3. Step 3: Cross multiply
    658.83x = 909.90 × 438.72
  4. Step 4: Simplify right side
    658.83x = 399,191.33
  5. Step 5: Solve for x
    x = 399,191.33/658.83
  6. Step 6: Final answer
    x = 605.91

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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.