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Finding the Fourth Proportional to 537.52, 805.45 and 363.51

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Solution

The fourth proportional to 537.52, 805.45 and 363.51 is: 544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.52 : 805.45 = 363.51 : x
  2. Step 2: Convert to fraction form
    537.52/805.45 = 363.51/x
  3. Step 3: Cross multiply
    537.52x = 805.45 × 363.51
  4. Step 4: Simplify right side
    537.52x = 292,789.13
  5. Step 5: Solve for x
    x = 292,789.13/537.52
  6. Step 6: Final answer
    x = 544.70

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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.