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Finding the Fourth Proportional to 537.25, 740.26 and 362.29

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Solution

The fourth proportional to 537.25, 740.26 and 362.29 is: 499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.25 : 740.26 = 362.29 : x
  2. Step 2: Convert to fraction form
    537.25/740.26 = 362.29/x
  3. Step 3: Cross multiply
    537.25x = 740.26 × 362.29
  4. Step 4: Simplify right side
    537.25x = 268,188.80
  5. Step 5: Solve for x
    x = 268,188.80/537.25
  6. Step 6: Final answer
    x = 499.19

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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.