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Finding the Fourth Proportional to 675.63, 932.36 and 365.13

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Solution

The fourth proportional to 675.63, 932.36 and 365.13 is: 503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.63 : 932.36 = 365.13 : x
  2. Step 2: Convert to fraction form
    675.63/932.36 = 365.13/x
  3. Step 3: Cross multiply
    675.63x = 932.36 × 365.13
  4. Step 4: Simplify right side
    675.63x = 340,428.86
  5. Step 5: Solve for x
    x = 340,428.86/675.63
  6. Step 6: Final answer
    x = 503.87

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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.