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Finding the Fourth Proportional to 675.73, 932.61 and 381.16

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Solution

The fourth proportional to 675.73, 932.61 and 381.16 is: 526.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.73 : 932.61 = 381.16 : x
  2. Step 2: Convert to fraction form
    675.73/932.61 = 381.16/x
  3. Step 3: Cross multiply
    675.73x = 932.61 × 381.16
  4. Step 4: Simplify right side
    675.73x = 355,473.63
  5. Step 5: Solve for x
    x = 355,473.63/675.73
  6. Step 6: Final answer
    x = 526.06

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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.