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Finding the Fourth Proportional to 438.29, 657.57 and 232.83

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Solution

The fourth proportional to 438.29, 657.57 and 232.83 is: 349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.29 : 657.57 = 232.83 : x
  2. Step 2: Convert to fraction form
    438.29/657.57 = 232.83/x
  3. Step 3: Cross multiply
    438.29x = 657.57 × 232.83
  4. Step 4: Simplify right side
    438.29x = 153,102.02
  5. Step 5: Solve for x
    x = 153,102.02/438.29
  6. Step 6: Final answer
    x = 349.32

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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.