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Finding the Fourth Proportional to 373.31, 559.97 and 346.58

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Solution

The fourth proportional to 373.31, 559.97 and 346.58 is: 519.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.31 : 559.97 = 346.58 : x
  2. Step 2: Convert to fraction form
    373.31/559.97 = 346.58/x
  3. Step 3: Cross multiply
    373.31x = 559.97 × 346.58
  4. Step 4: Simplify right side
    373.31x = 194,072.67
  5. Step 5: Solve for x
    x = 194,072.67/373.31
  6. Step 6: Final answer
    x = 519.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.