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Finding the Fourth Proportional to 534.12, 797.31 and 452.20

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Solution

The fourth proportional to 534.12, 797.31 and 452.20 is: 675.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.12 : 797.31 = 452.20 : x
  2. Step 2: Convert to fraction form
    534.12/797.31 = 452.20/x
  3. Step 3: Cross multiply
    534.12x = 797.31 × 452.20
  4. Step 4: Simplify right side
    534.12x = 360,543.58
  5. Step 5: Solve for x
    x = 360,543.58/534.12
  6. Step 6: Final answer
    x = 675.02

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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.