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Finding the Fourth Proportional to 373.86, 516.06 and 314.70

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Solution

The fourth proportional to 373.86, 516.06 and 314.70 is: 434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.86 : 516.06 = 314.70 : x
  2. Step 2: Convert to fraction form
    373.86/516.06 = 314.70/x
  3. Step 3: Cross multiply
    373.86x = 516.06 × 314.70
  4. Step 4: Simplify right side
    373.86x = 162,404.08
  5. Step 5: Solve for x
    x = 162,404.08/373.86
  6. Step 6: Final answer
    x = 434.40

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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.