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Finding the Fourth Proportional to 560.20, 840.36 and 329.44

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Solution

The fourth proportional to 560.20, 840.36 and 329.44 is: 494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.20 : 840.36 = 329.44 : x
  2. Step 2: Convert to fraction form
    560.20/840.36 = 329.44/x
  3. Step 3: Cross multiply
    560.20x = 840.36 × 329.44
  4. Step 4: Simplify right side
    560.20x = 276,848.20
  5. Step 5: Solve for x
    x = 276,848.20/560.20
  6. Step 6: Final answer
    x = 494.20

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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.