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Finding the Fourth Proportional to 375, 516.24 and 334.92

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Solution

The fourth proportional to 375, 516.24 and 334.92 is: 461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    375 : 516.24 = 334.92 : x
  2. Step 2: Convert to fraction form
    375/516.24 = 334.92/x
  3. Step 3: Cross multiply
    375x = 516.24 × 334.92
  4. Step 4: Simplify right side
    375x = 172,899.10
  5. Step 5: Solve for x
    x = 172,899.10/375
  6. Step 6: Final answer
    x = 461.06

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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.