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Finding the Fourth Proportional to 411.58, 616.46 and 295.68

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Solution

The fourth proportional to 411.58, 616.46 and 295.68 is: 442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.58 : 616.46 = 295.68 : x
  2. Step 2: Convert to fraction form
    411.58/616.46 = 295.68/x
  3. Step 3: Cross multiply
    411.58x = 616.46 × 295.68
  4. Step 4: Simplify right side
    411.58x = 182,270.96
  5. Step 5: Solve for x
    x = 182,270.96/411.58
  6. Step 6: Final answer
    x = 442.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.