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Finding the Fourth Proportional to 337.16, 465.30 and 314.12

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Solution

The fourth proportional to 337.16, 465.30 and 314.12 is: 433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.16 : 465.30 = 314.12 : x
  2. Step 2: Convert to fraction form
    337.16/465.30 = 314.12/x
  3. Step 3: Cross multiply
    337.16x = 465.30 × 314.12
  4. Step 4: Simplify right side
    337.16x = 146,160.04
  5. Step 5: Solve for x
    x = 146,160.04/337.16
  6. Step 6: Final answer
    x = 433.50

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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.