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Finding the Fourth Proportional to 537.31, 801.52 and 530.27

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Solution

The fourth proportional to 537.31, 801.52 and 530.27 is: 791.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.31 : 801.52 = 530.27 : x
  2. Step 2: Convert to fraction form
    537.31/801.52 = 530.27/x
  3. Step 3: Cross multiply
    537.31x = 801.52 × 530.27
  4. Step 4: Simplify right side
    537.31x = 425,020.68
  5. Step 5: Solve for x
    x = 425,020.68/537.31
  6. Step 6: Final answer
    x = 791.02

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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.