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Finding the Fourth Proportional to 537.36, 801.12 and 500.88

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Solution

The fourth proportional to 537.36, 801.12 and 500.88 is: 746.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.36 : 801.12 = 500.88 : x
  2. Step 2: Convert to fraction form
    537.36/801.12 = 500.88/x
  3. Step 3: Cross multiply
    537.36x = 801.12 × 500.88
  4. Step 4: Simplify right side
    537.36x = 401,264.99
  5. Step 5: Solve for x
    x = 401,264.99/537.36
  6. Step 6: Final answer
    x = 746.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.