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Finding the Fourth Proportional to 560.85, 840.70 and 195.44

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Solution

The fourth proportional to 560.85, 840.70 and 195.44 is: 292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.85 : 840.70 = 195.44 : x
  2. Step 2: Convert to fraction form
    560.85/840.70 = 195.44/x
  3. Step 3: Cross multiply
    560.85x = 840.70 × 195.44
  4. Step 4: Simplify right side
    560.85x = 164,301.23
  5. Step 5: Solve for x
    x = 164,301.23/560.85
  6. Step 6: Final answer
    x = 292.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.