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Finding the Fourth Proportional to 560.29, 840.41 and 170.30

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Solution

The fourth proportional to 560.29, 840.41 and 170.30 is: 255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.29 : 840.41 = 170.30 : x
  2. Step 2: Convert to fraction form
    560.29/840.41 = 170.30/x
  3. Step 3: Cross multiply
    560.29x = 840.41 × 170.30
  4. Step 4: Simplify right side
    560.29x = 143,121.82
  5. Step 5: Solve for x
    x = 143,121.82/560.29
  6. Step 6: Final answer
    x = 255.44

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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.