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Finding the Fourth Proportional to 446.78, 616.45 and 260.16

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Solution

The fourth proportional to 446.78, 616.45 and 260.16 is: 358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.78 : 616.45 = 260.16 : x
  2. Step 2: Convert to fraction form
    446.78/616.45 = 260.16/x
  3. Step 3: Cross multiply
    446.78x = 616.45 × 260.16
  4. Step 4: Simplify right side
    446.78x = 160,373.00
  5. Step 5: Solve for x
    x = 160,373.00/446.78
  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.