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Finding the Fourth Proportional to 675.72, 932.36 and 376.92

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Solution

The fourth proportional to 675.72, 932.36 and 376.92 is: 520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.72 : 932.36 = 376.92 : x
  2. Step 2: Convert to fraction form
    675.72/932.36 = 376.92/x
  3. Step 3: Cross multiply
    675.72x = 932.36 × 376.92
  4. Step 4: Simplify right side
    675.72x = 351,425.13
  5. Step 5: Solve for x
    x = 351,425.13/675.72
  6. Step 6: Final answer
    x = 520.08

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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.