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Finding the Fourth Proportional to 446.60, 616.57 and 291.62

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Solution

The fourth proportional to 446.60, 616.57 and 291.62 is: 402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.60 : 616.57 = 291.62 : x
  2. Step 2: Convert to fraction form
    446.60/616.57 = 291.62/x
  3. Step 3: Cross multiply
    446.60x = 616.57 × 291.62
  4. Step 4: Simplify right side
    446.60x = 179,801.06
  5. Step 5: Solve for x
    x = 179,801.06/446.60
  6. Step 6: Final answer
    x = 402.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.