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Finding the Fourth Proportional to 589.20, 884.32 and 372.08

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Solution

The fourth proportional to 589.20, 884.32 and 372.08 is: 558.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.20 : 884.32 = 372.08 : x
  2. Step 2: Convert to fraction form
    589.20/884.32 = 372.08/x
  3. Step 3: Cross multiply
    589.20x = 884.32 × 372.08
  4. Step 4: Simplify right side
    589.20x = 329,037.79
  5. Step 5: Solve for x
    x = 329,037.79/589.20
  6. Step 6: Final answer
    x = 558.45

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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.