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Finding the Fourth Proportional to 446.68, 616.54 and 260.22

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Solution

The fourth proportional to 446.68, 616.54 and 260.22 is: 359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.68 : 616.54 = 260.22 : x
  2. Step 2: Convert to fraction form
    446.68/616.54 = 260.22/x
  3. Step 3: Cross multiply
    446.68x = 616.54 × 260.22
  4. Step 4: Simplify right side
    446.68x = 160,436.04
  5. Step 5: Solve for x
    x = 160,436.04/446.68
  6. Step 6: Final answer
    x = 359.17

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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.