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Finding the Fourth Proportional to 332.34, 498.14 and 229.66

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Solution

The fourth proportional to 332.34, 498.14 and 229.66 is: 344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.34 : 498.14 = 229.66 : x
  2. Step 2: Convert to fraction form
    332.34/498.14 = 229.66/x
  3. Step 3: Cross multiply
    332.34x = 498.14 × 229.66
  4. Step 4: Simplify right side
    332.34x = 114,402.83
  5. Step 5: Solve for x
    x = 114,402.83/332.34
  6. Step 6: Final answer
    x = 344.23

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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.