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Finding the Fourth Proportional to 332.27, 460.62 and 314.70

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Solution

The fourth proportional to 332.27, 460.62 and 314.70 is: 436.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.27 : 460.62 = 314.70 : x
  2. Step 2: Convert to fraction form
    332.27/460.62 = 314.70/x
  3. Step 3: Cross multiply
    332.27x = 460.62 × 314.70
  4. Step 4: Simplify right side
    332.27x = 144,955.93
  5. Step 5: Solve for x
    x = 144,955.93/332.27
  6. Step 6: Final answer
    x = 436.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.