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Finding the Fourth Proportional to 374.67, 517.51 and 296.10

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Solution

The fourth proportional to 374.67, 517.51 and 296.10 is: 408.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.67 : 517.51 = 296.10 : x
  2. Step 2: Convert to fraction form
    374.67/517.51 = 296.10/x
  3. Step 3: Cross multiply
    374.67x = 517.51 × 296.10
  4. Step 4: Simplify right side
    374.67x = 153,234.71
  5. Step 5: Solve for x
    x = 153,234.71/374.67
  6. Step 6: Final answer
    x = 408.99

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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.