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Finding the Fourth Proportional to 589.48, 883.98 and 199.40

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Solution

The fourth proportional to 589.48, 883.98 and 199.40 is: 299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.48 : 883.98 = 199.40 : x
  2. Step 2: Convert to fraction form
    589.48/883.98 = 199.40/x
  3. Step 3: Cross multiply
    589.48x = 883.98 × 199.40
  4. Step 4: Simplify right side
    589.48x = 176,265.61
  5. Step 5: Solve for x
    x = 176,265.61/589.48
  6. Step 6: Final answer
    x = 299.02

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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.