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Finding the Fourth Proportional to 411.47, 618.11 and 398.51

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Solution

The fourth proportional to 411.47, 618.11 and 398.51 is: 598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.47 : 618.11 = 398.51 : x
  2. Step 2: Convert to fraction form
    411.47/618.11 = 398.51/x
  3. Step 3: Cross multiply
    411.47x = 618.11 × 398.51
  4. Step 4: Simplify right side
    411.47x = 246,323.02
  5. Step 5: Solve for x
    x = 246,323.02/411.47
  6. Step 6: Final answer
    x = 598.64

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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.