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Finding the Fourth Proportional to 534.08, 801.20 and 389.60

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Solution

The fourth proportional to 534.08, 801.20 and 389.60 is: 584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.08 : 801.20 = 389.60 : x
  2. Step 2: Convert to fraction form
    534.08/801.20 = 389.60/x
  3. Step 3: Cross multiply
    534.08x = 801.20 × 389.60
  4. Step 4: Simplify right side
    534.08x = 312,147.52
  5. Step 5: Solve for x
    x = 312,147.52/534.08
  6. Step 6: Final answer
    x = 584.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.