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Finding the Fourth Proportional to 411.80, 616.48 and 295.64

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Solution

The fourth proportional to 411.80, 616.48 and 295.64 is: 442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.80 : 616.48 = 295.64 : x
  2. Step 2: Convert to fraction form
    411.80/616.48 = 295.64/x
  3. Step 3: Cross multiply
    411.80x = 616.48 × 295.64
  4. Step 4: Simplify right side
    411.80x = 182,256.15
  5. Step 5: Solve for x
    x = 182,256.15/411.80
  6. Step 6: Final answer
    x = 442.58

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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.