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Finding the Fourth Proportional to 537.11, 740.73 and 362.69

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Solution

The fourth proportional to 537.11, 740.73 and 362.69 is: 500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.11 : 740.73 = 362.69 : x
  2. Step 2: Convert to fraction form
    537.11/740.73 = 362.69/x
  3. Step 3: Cross multiply
    537.11x = 740.73 × 362.69
  4. Step 4: Simplify right side
    537.11x = 268,649.85
  5. Step 5: Solve for x
    x = 268,649.85/537.11
  6. Step 6: Final answer
    x = 500.18

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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.