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Finding the Fourth Proportional to 438.32, 656.50 and 308.90

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Solution

The fourth proportional to 438.32, 656.50 and 308.90 is: 462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.32 : 656.50 = 308.90 : x
  2. Step 2: Convert to fraction form
    438.32/656.50 = 308.90/x
  3. Step 3: Cross multiply
    438.32x = 656.50 × 308.90
  4. Step 4: Simplify right side
    438.32x = 202,792.85
  5. Step 5: Solve for x
    x = 202,792.85/438.32
  6. Step 6: Final answer
    x = 462.66

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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.