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Finding the Fourth Proportional to 675.61, 932.34 and 365.11

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Solution

The fourth proportional to 675.61, 932.34 and 365.11 is: 503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.61 : 932.34 = 365.11 : x
  2. Step 2: Convert to fraction form
    675.61/932.34 = 365.11/x
  3. Step 3: Cross multiply
    675.61x = 932.34 × 365.11
  4. Step 4: Simplify right side
    675.61x = 340,406.76
  5. Step 5: Solve for x
    x = 340,406.76/675.61
  6. Step 6: Final answer
    x = 503.85

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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.