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Finding the Fourth Proportional to 332.34, 497.64 and 229.84

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Solution

The fourth proportional to 332.34, 497.64 and 229.84 is: 344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.34 : 497.64 = 229.84 : x
  2. Step 2: Convert to fraction form
    332.34/497.64 = 229.84/x
  3. Step 3: Cross multiply
    332.34x = 497.64 × 229.84
  4. Step 4: Simplify right side
    332.34x = 114,377.20
  5. Step 5: Solve for x
    x = 114,377.20/332.34
  6. Step 6: Final answer
    x = 344.16

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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.