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Finding the Fourth Proportional to 582.80, 872.85 and 399.20

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Solution

The fourth proportional to 582.80, 872.85 and 399.20 is: 597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.80 : 872.85 = 399.20 : x
  2. Step 2: Convert to fraction form
    582.80/872.85 = 399.20/x
  3. Step 3: Cross multiply
    582.80x = 872.85 × 399.20
  4. Step 4: Simplify right side
    582.80x = 348,441.72
  5. Step 5: Solve for x
    x = 348,441.72/582.80
  6. Step 6: Final answer
    x = 597.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.