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Finding the Fourth Proportional to 580.43, 870.93 and 255.75

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Solution

The fourth proportional to 580.43, 870.93 and 255.75 is: 383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.43 : 870.93 = 255.75 : x
  2. Step 2: Convert to fraction form
    580.43/870.93 = 255.75/x
  3. Step 3: Cross multiply
    580.43x = 870.93 × 255.75
  4. Step 4: Simplify right side
    580.43x = 222,740.35
  5. Step 5: Solve for x
    x = 222,740.35/580.43
  6. Step 6: Final answer
    x = 383.75

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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.