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Finding the Fourth Proportional to 446.63, 616.42 and 260.23

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Solution

The fourth proportional to 446.63, 616.42 and 260.23 is: 359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.63 : 616.42 = 260.23 : x
  2. Step 2: Convert to fraction form
    446.63/616.42 = 260.23/x
  3. Step 3: Cross multiply
    446.63x = 616.42 × 260.23
  4. Step 4: Simplify right side
    446.63x = 160,407.89
  5. Step 5: Solve for x
    x = 160,407.89/446.63
  6. Step 6: Final answer
    x = 359.15

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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.