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Finding the Fourth Proportional to 538.38, 807.66 and 365.76

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Solution

The fourth proportional to 538.38, 807.66 and 365.76 is: 548.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.38 : 807.66 = 365.76 : x
  2. Step 2: Convert to fraction form
    538.38/807.66 = 365.76/x
  3. Step 3: Cross multiply
    538.38x = 807.66 × 365.76
  4. Step 4: Simplify right side
    538.38x = 295,409.72
  5. Step 5: Solve for x
    x = 295,409.72/538.38
  6. Step 6: Final answer
    x = 548.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.