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Finding the Fourth Proportional to 582.31, 873.87 and 399.88

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Solution

The fourth proportional to 582.31, 873.87 and 399.88 is: 600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.31 : 873.87 = 399.88 : x
  2. Step 2: Convert to fraction form
    582.31/873.87 = 399.88/x
  3. Step 3: Cross multiply
    582.31x = 873.87 × 399.88
  4. Step 4: Simplify right side
    582.31x = 349,443.14
  5. Step 5: Solve for x
    x = 349,443.14/582.31
  6. Step 6: Final answer
    x = 600.10

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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.