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Finding the Fourth Proportional to 580.16, 870.36 and 195.68

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Solution

The fourth proportional to 580.16, 870.36 and 195.68 is: 293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.16 : 870.36 = 195.68 : x
  2. Step 2: Convert to fraction form
    580.16/870.36 = 195.68/x
  3. Step 3: Cross multiply
    580.16x = 870.36 × 195.68
  4. Step 4: Simplify right side
    580.16x = 170,312.04
  5. Step 5: Solve for x
    x = 170,312.04/580.16
  6. Step 6: Final answer
    x = 293.56

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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.