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Finding the Fourth Proportional to 560.22, 840.35 and 170.22

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Solution

The fourth proportional to 560.22, 840.35 and 170.22 is: 255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.22 : 840.35 = 170.22 : x
  2. Step 2: Convert to fraction form
    560.22/840.35 = 170.22/x
  3. Step 3: Cross multiply
    560.22x = 840.35 × 170.22
  4. Step 4: Simplify right side
    560.22x = 143,043.53
  5. Step 5: Solve for x
    x = 143,043.53/560.22
  6. Step 6: Final answer
    x = 255.33

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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.