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Finding the Fourth Proportional to 560.37, 840.72 and 195.27

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Solution

The fourth proportional to 560.37, 840.72 and 195.27 is: 292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.37 : 840.72 = 195.27 : x
  2. Step 2: Convert to fraction form
    560.37/840.72 = 195.27/x
  3. Step 3: Cross multiply
    560.37x = 840.72 × 195.27
  4. Step 4: Simplify right side
    560.37x = 164,167.39
  5. Step 5: Solve for x
    x = 164,167.39/560.37
  6. Step 6: Final answer
    x = 292.96

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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.