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Finding the Fourth Proportional to 580.50, 870.76 and 272.50

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Solution

The fourth proportional to 580.50, 870.76 and 272.50 is: 408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.50 : 870.76 = 272.50 : x
  2. Step 2: Convert to fraction form
    580.50/870.76 = 272.50/x
  3. Step 3: Cross multiply
    580.50x = 870.76 × 272.50
  4. Step 4: Simplify right side
    580.50x = 237,282.10
  5. Step 5: Solve for x
    x = 237,282.10/580.50
  6. Step 6: Final answer
    x = 408.75

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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.