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Finding the Fourth Proportional to 534.68, 800.57 and 277.64

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Solution

The fourth proportional to 534.68, 800.57 and 277.64 is: 415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.68 : 800.57 = 277.64 : x
  2. Step 2: Convert to fraction form
    534.68/800.57 = 277.64/x
  3. Step 3: Cross multiply
    534.68x = 800.57 × 277.64
  4. Step 4: Simplify right side
    534.68x = 222,272.95
  5. Step 5: Solve for x
    x = 222,272.95/534.68
  6. Step 6: Final answer
    x = 415.71

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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.