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Finding the Fourth Proportional to 534.18, 738.06 and 440.85

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Solution

The fourth proportional to 534.18, 738.06 and 440.85 is: 609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.18 : 738.06 = 440.85 : x
  2. Step 2: Convert to fraction form
    534.18/738.06 = 440.85/x
  3. Step 3: Cross multiply
    534.18x = 738.06 × 440.85
  4. Step 4: Simplify right side
    534.18x = 325,373.75
  5. Step 5: Solve for x
    x = 325,373.75/534.18
  6. Step 6: Final answer
    x = 609.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.