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Finding the Fourth Proportional to 537.40, 741.38 and 362.86

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Solution

The fourth proportional to 537.40, 741.38 and 362.86 is: 500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.40 : 741.38 = 362.86 : x
  2. Step 2: Convert to fraction form
    537.40/741.38 = 362.86/x
  3. Step 3: Cross multiply
    537.40x = 741.38 × 362.86
  4. Step 4: Simplify right side
    537.40x = 269,017.15
  5. Step 5: Solve for x
    x = 269,017.15/537.40
  6. Step 6: Final answer
    x = 500.59

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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.