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Finding the Fourth Proportional to 438.60, 658.26 and 311.16

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Solution

The fourth proportional to 438.60, 658.26 and 311.16 is: 467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.60 : 658.26 = 311.16 : x
  2. Step 2: Convert to fraction form
    438.60/658.26 = 311.16/x
  3. Step 3: Cross multiply
    438.60x = 658.26 × 311.16
  4. Step 4: Simplify right side
    438.60x = 204,824.18
  5. Step 5: Solve for x
    x = 204,824.18/438.60
  6. Step 6: Final answer
    x = 467.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.