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Finding the Fourth Proportional to 411.05, 616.58 and 393.28

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Solution

The fourth proportional to 411.05, 616.58 and 393.28 is: 589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.05 : 616.58 = 393.28 : x
  2. Step 2: Convert to fraction form
    411.05/616.58 = 393.28/x
  3. Step 3: Cross multiply
    411.05x = 616.58 × 393.28
  4. Step 4: Simplify right side
    411.05x = 242,483.53
  5. Step 5: Solve for x
    x = 242,483.53/411.05
  6. Step 6: Final answer
    x = 589.91

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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.