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Finding the Fourth Proportional to 589.10, 882.03 and 383.90

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Solution

The fourth proportional to 589.10, 882.03 and 383.90 is: 574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.10 : 882.03 = 383.90 : x
  2. Step 2: Convert to fraction form
    589.10/882.03 = 383.90/x
  3. Step 3: Cross multiply
    589.10x = 882.03 × 383.90
  4. Step 4: Simplify right side
    589.10x = 338,611.32
  5. Step 5: Solve for x
    x = 338,611.32/589.10
  6. Step 6: Final answer
    x = 574.79

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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.