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Finding the Fourth Proportional to 598.71, 896.61 and 424.54

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Solution

The fourth proportional to 598.71, 896.61 and 424.54 is: 635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.71 : 896.61 = 424.54 : x
  2. Step 2: Convert to fraction form
    598.71/896.61 = 424.54/x
  3. Step 3: Cross multiply
    598.71x = 896.61 × 424.54
  4. Step 4: Simplify right side
    598.71x = 380,646.81
  5. Step 5: Solve for x
    x = 380,646.81/598.71
  6. Step 6: Final answer
    x = 635.78

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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.