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Finding the Fourth Proportional to 675.81, 932.63 and 381.07

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Solution

The fourth proportional to 675.81, 932.63 and 381.07 is: 525.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.81 : 932.63 = 381.07 : x
  2. Step 2: Convert to fraction form
    675.81/932.63 = 381.07/x
  3. Step 3: Cross multiply
    675.81x = 932.63 × 381.07
  4. Step 4: Simplify right side
    675.81x = 355,397.31
  5. Step 5: Solve for x
    x = 355,397.31/675.81
  6. Step 6: Final answer
    x = 525.88

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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.