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Finding the Fourth Proportional to 580, 870 and 195.25

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Solution

The fourth proportional to 580, 870 and 195.25 is: 292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    580 : 870 = 195.25 : x
  2. Step 2: Convert to fraction form
    580/870 = 195.25/x
  3. Step 3: Cross multiply
    580x = 870 × 195.25
  4. Step 4: Simplify right side
    580x = 169,867.50
  5. Step 5: Solve for x
    x = 169,867.50/580
  6. Step 6: Final answer
    x = 292.88

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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.