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Finding the Fourth Proportional to 580.22, 870.46 and 195.47

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Solution

The fourth proportional to 580.22, 870.46 and 195.47 is: 293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.22 : 870.46 = 195.47 : x
  2. Step 2: Convert to fraction form
    580.22/870.46 = 195.47/x
  3. Step 3: Cross multiply
    580.22x = 870.46 × 195.47
  4. Step 4: Simplify right side
    580.22x = 170,148.34
  5. Step 5: Solve for x
    x = 170,148.34/580.22
  6. Step 6: Final answer
    x = 293.25

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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.