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Finding the Fourth Proportional to 534.61, 800.97 and 456.78

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Solution

The fourth proportional to 534.61, 800.97 and 456.78 is: 684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.61 : 800.97 = 456.78 : x
  2. Step 2: Convert to fraction form
    534.61/800.97 = 456.78/x
  3. Step 3: Cross multiply
    534.61x = 800.97 × 456.78
  4. Step 4: Simplify right side
    534.61x = 365,867.08
  5. Step 5: Solve for x
    x = 365,867.08/534.61
  6. Step 6: Final answer
    x = 684.36

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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.