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Finding the Fourth Proportional to 516.95, 775.89 and 372.77

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Solution

The fourth proportional to 516.95, 775.89 and 372.77 is: 559.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.95 : 775.89 = 372.77 : x
  2. Step 2: Convert to fraction form
    516.95/775.89 = 372.77/x
  3. Step 3: Cross multiply
    516.95x = 775.89 × 372.77
  4. Step 4: Simplify right side
    516.95x = 289,228.52
  5. Step 5: Solve for x
    x = 289,228.52/516.95
  6. Step 6: Final answer
    x = 559.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.