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Finding the Fourth Proportional to 375.01, 516.98 and 264.15

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Solution

The fourth proportional to 375.01, 516.98 and 264.15 is: 364.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.01 : 516.98 = 264.15 : x
  2. Step 2: Convert to fraction form
    375.01/516.98 = 264.15/x
  3. Step 3: Cross multiply
    375.01x = 516.98 × 264.15
  4. Step 4: Simplify right side
    375.01x = 136,560.27
  5. Step 5: Solve for x
    x = 136,560.27/375.01
  6. Step 6: Final answer
    x = 364.15

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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.