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Finding the Fourth Proportional to 438.32, 656.91 and 232.98

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Solution

The fourth proportional to 438.32, 656.91 and 232.98 is: 349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.32 : 656.91 = 232.98 : x
  2. Step 2: Convert to fraction form
    438.32/656.91 = 232.98/x
  3. Step 3: Cross multiply
    438.32x = 656.91 × 232.98
  4. Step 4: Simplify right side
    438.32x = 153,046.89
  5. Step 5: Solve for x
    x = 153,046.89/438.32
  6. Step 6: Final answer
    x = 349.17

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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.