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Finding the Fourth Proportional to 376.67, 562.49 and 294.59

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Solution

The fourth proportional to 376.67, 562.49 and 294.59 is: 439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.67 : 562.49 = 294.59 : x
  2. Step 2: Convert to fraction form
    376.67/562.49 = 294.59/x
  3. Step 3: Cross multiply
    376.67x = 562.49 × 294.59
  4. Step 4: Simplify right side
    376.67x = 165,699.64
  5. Step 5: Solve for x
    x = 165,699.64/376.67
  6. Step 6: Final answer
    x = 439.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.