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Finding the Fourth Proportional to 534.24, 801.48 and 209.52

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Solution

The fourth proportional to 534.24, 801.48 and 209.52 is: 314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.24 : 801.48 = 209.52 : x
  2. Step 2: Convert to fraction form
    534.24/801.48 = 209.52/x
  3. Step 3: Cross multiply
    534.24x = 801.48 × 209.52
  4. Step 4: Simplify right side
    534.24x = 167,926.09
  5. Step 5: Solve for x
    x = 167,926.09/534.24
  6. Step 6: Final answer
    x = 314.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.