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Finding the Fourth Proportional to 598.74, 898.47 and 324.96

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Solution

The fourth proportional to 598.74, 898.47 and 324.96 is: 487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.74 : 898.47 = 324.96 : x
  2. Step 2: Convert to fraction form
    598.74/898.47 = 324.96/x
  3. Step 3: Cross multiply
    598.74x = 898.47 × 324.96
  4. Step 4: Simplify right side
    598.74x = 291,966.81
  5. Step 5: Solve for x
    x = 291,966.81/598.74
  6. Step 6: Final answer
    x = 487.64

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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.