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Finding the Fourth Proportional to 598.10, 898.72 and 324.38

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Solution

The fourth proportional to 598.10, 898.72 and 324.38 is: 487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.10 : 898.72 = 324.38 : x
  2. Step 2: Convert to fraction form
    598.10/898.72 = 324.38/x
  3. Step 3: Cross multiply
    598.10x = 898.72 × 324.38
  4. Step 4: Simplify right side
    598.10x = 291,526.79
  5. Step 5: Solve for x
    x = 291,526.79/598.10
  6. Step 6: Final answer
    x = 487.42

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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.