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Finding the Fourth Proportional to 534.49, 800.85 and 290.27

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Solution

The fourth proportional to 534.49, 800.85 and 290.27 is: 434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.49 : 800.85 = 290.27 : x
  2. Step 2: Convert to fraction form
    534.49/800.85 = 290.27/x
  3. Step 3: Cross multiply
    534.49x = 800.85 × 290.27
  4. Step 4: Simplify right side
    534.49x = 232,462.73
  5. Step 5: Solve for x
    x = 232,462.73/534.49
  6. Step 6: Final answer
    x = 434.92

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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.