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Finding the Fourth Proportional to 534.26, 801.05 and 205.20

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Solution

The fourth proportional to 534.26, 801.05 and 205.20 is: 307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.26 : 801.05 = 205.20 : x
  2. Step 2: Convert to fraction form
    534.26/801.05 = 205.20/x
  3. Step 3: Cross multiply
    534.26x = 801.05 × 205.20
  4. Step 4: Simplify right side
    534.26x = 164,372.58
  5. Step 5: Solve for x
    x = 164,372.58/534.26
  6. Step 6: Final answer
    x = 307.66

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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.