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Finding the Fourth Proportional to 373.74, 515.80 and 311.46

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Solution

The fourth proportional to 373.74, 515.80 and 311.46 is: 429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.74 : 515.80 = 311.46 : x
  2. Step 2: Convert to fraction form
    373.74/515.80 = 311.46/x
  3. Step 3: Cross multiply
    373.74x = 515.80 × 311.46
  4. Step 4: Simplify right side
    373.74x = 160,650.29
  5. Step 5: Solve for x
    x = 160,650.29/373.74
  6. Step 6: Final answer
    x = 429.85

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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.