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Finding the Fourth Proportional to 675.87, 932.67 and 381.12

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Solution

The fourth proportional to 675.87, 932.67 and 381.12 is: 525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.87 : 932.67 = 381.12 : x
  2. Step 2: Convert to fraction form
    675.87/932.67 = 381.12/x
  3. Step 3: Cross multiply
    675.87x = 932.67 × 381.12
  4. Step 4: Simplify right side
    675.87x = 355,459.19
  5. Step 5: Solve for x
    x = 355,459.19/675.87
  6. Step 6: Final answer
    x = 525.93

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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.