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Finding the Fourth Proportional to 580.78, 875.16 and 480.32

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Solution

The fourth proportional to 580.78, 875.16 and 480.32 is: 723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.78 : 875.16 = 480.32 : x
  2. Step 2: Convert to fraction form
    580.78/875.16 = 480.32/x
  3. Step 3: Cross multiply
    580.78x = 875.16 × 480.32
  4. Step 4: Simplify right side
    580.78x = 420,355.76
  5. Step 5: Solve for x
    x = 420,355.76/580.78
  6. Step 6: Final answer
    x = 723.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.