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Finding the Fourth Proportional to 516.06, 710.73 and 375.93

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Solution

The fourth proportional to 516.06, 710.73 and 375.93 is: 517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.06 : 710.73 = 375.93 : x
  2. Step 2: Convert to fraction form
    516.06/710.73 = 375.93/x
  3. Step 3: Cross multiply
    516.06x = 710.73 × 375.93
  4. Step 4: Simplify right side
    516.06x = 267,184.73
  5. Step 5: Solve for x
    x = 267,184.73/516.06
  6. Step 6: Final answer
    x = 517.74

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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.