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Finding the Fourth Proportional to 675.61, 932.32 and 380.86

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Solution

The fourth proportional to 675.61, 932.32 and 380.86 is: 525.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.61 : 932.32 = 380.86 : x
  2. Step 2: Convert to fraction form
    675.61/932.32 = 380.86/x
  3. Step 3: Cross multiply
    675.61x = 932.32 × 380.86
  4. Step 4: Simplify right side
    675.61x = 355,083.40
  5. Step 5: Solve for x
    x = 355,083.40/675.61
  6. Step 6: Final answer
    x = 525.57

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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.