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Finding the Fourth Proportional to 534.60, 801.22 and 412.61

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Solution

The fourth proportional to 534.60, 801.22 and 412.61 is: 618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.60 : 801.22 = 412.61 : x
  2. Step 2: Convert to fraction form
    534.60/801.22 = 412.61/x
  3. Step 3: Cross multiply
    534.60x = 801.22 × 412.61
  4. Step 4: Simplify right side
    534.60x = 330,587.09
  5. Step 5: Solve for x
    x = 330,587.09/534.60
  6. Step 6: Final answer
    x = 618.38

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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.