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Finding the Fourth Proportional to 375.48, 517.14 and 309.96

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Solution

The fourth proportional to 375.48, 517.14 and 309.96 is: 426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.48 : 517.14 = 309.96 : x
  2. Step 2: Convert to fraction form
    375.48/517.14 = 309.96/x
  3. Step 3: Cross multiply
    375.48x = 517.14 × 309.96
  4. Step 4: Simplify right side
    375.48x = 160,292.71
  5. Step 5: Solve for x
    x = 160,292.71/375.48
  6. Step 6: Final answer
    x = 426.90

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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.