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Finding the Fourth Proportional to 373.40, 559.03 and 296.47

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Solution

The fourth proportional to 373.40, 559.03 and 296.47 is: 443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.40 : 559.03 = 296.47 : x
  2. Step 2: Convert to fraction form
    373.40/559.03 = 296.47/x
  3. Step 3: Cross multiply
    373.40x = 559.03 × 296.47
  4. Step 4: Simplify right side
    373.40x = 165,737.34
  5. Step 5: Solve for x
    x = 165,737.34/373.40
  6. Step 6: Final answer
    x = 443.86

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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.