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Finding the Fourth Proportional to 446.76, 616.44 and 291.48

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Solution

The fourth proportional to 446.76, 616.44 and 291.48 is: 402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.76 : 616.44 = 291.48 : x
  2. Step 2: Convert to fraction form
    446.76/616.44 = 291.48/x
  3. Step 3: Cross multiply
    446.76x = 616.44 × 291.48
  4. Step 4: Simplify right side
    446.76x = 179,679.93
  5. Step 5: Solve for x
    x = 179,679.93/446.76
  6. Step 6: Final answer
    x = 402.18

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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.