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Finding the Fourth Proportional to 332.34, 459.17 and 314.11

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Solution

The fourth proportional to 332.34, 459.17 and 314.11 is: 433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.34 : 459.17 = 314.11 : x
  2. Step 2: Convert to fraction form
    332.34/459.17 = 314.11/x
  3. Step 3: Cross multiply
    332.34x = 459.17 × 314.11
  4. Step 4: Simplify right side
    332.34x = 144,229.89
  5. Step 5: Solve for x
    x = 144,229.89/332.34
  6. Step 6: Final answer
    x = 433.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.