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Finding the Fourth Proportional to 537.59, 805.71 and 248.42

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Solution

The fourth proportional to 537.59, 805.71 and 248.42 is: 372.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.59 : 805.71 = 248.42 : x
  2. Step 2: Convert to fraction form
    537.59/805.71 = 248.42/x
  3. Step 3: Cross multiply
    537.59x = 805.71 × 248.42
  4. Step 4: Simplify right side
    537.59x = 200,154.48
  5. Step 5: Solve for x
    x = 200,154.48/537.59
  6. Step 6: Final answer
    x = 372.32

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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.