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Finding the Fourth Proportional to 537.29, 740.99 and 362.87

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Solution

The fourth proportional to 537.29, 740.99 and 362.87 is: 500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.29 : 740.99 = 362.87 : x
  2. Step 2: Convert to fraction form
    537.29/740.99 = 362.87/x
  3. Step 3: Cross multiply
    537.29x = 740.99 × 362.87
  4. Step 4: Simplify right side
    537.29x = 268,881.23
  5. Step 5: Solve for x
    x = 268,881.23/537.29
  6. Step 6: Final answer
    x = 500.44

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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.