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Finding the Fourth Proportional to 446.62, 616.26 and 260.14

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Solution

The fourth proportional to 446.62, 616.26 and 260.14 is: 358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.62 : 616.26 = 260.14 : x
  2. Step 2: Convert to fraction form
    446.62/616.26 = 260.14/x
  3. Step 3: Cross multiply
    446.62x = 616.26 × 260.14
  4. Step 4: Simplify right side
    446.62x = 160,313.88
  5. Step 5: Solve for x
    x = 160,313.88/446.62
  6. Step 6: Final answer
    x = 358.95

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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.