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Finding the Fourth Proportional to 560.45, 840.56 and 195.26

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Solution

The fourth proportional to 560.45, 840.56 and 195.26 is: 292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.45 : 840.56 = 195.26 : x
  2. Step 2: Convert to fraction form
    560.45/840.56 = 195.26/x
  3. Step 3: Cross multiply
    560.45x = 840.56 × 195.26
  4. Step 4: Simplify right side
    560.45x = 164,122.57
  5. Step 5: Solve for x
    x = 164,122.57/560.45
  6. Step 6: Final answer
    x = 292.84

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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.