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Finding the Fourth Proportional to 446.66, 616.41 and 260.22

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Solution

The fourth proportional to 446.66, 616.41 and 260.22 is: 359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.66 : 616.41 = 260.22 : x
  2. Step 2: Convert to fraction form
    446.66/616.41 = 260.22/x
  3. Step 3: Cross multiply
    446.66x = 616.41 × 260.22
  4. Step 4: Simplify right side
    446.66x = 160,402.21
  5. Step 5: Solve for x
    x = 160,402.21/446.66
  6. Step 6: Final answer
    x = 359.11

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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.