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Finding the Fourth Proportional to 446.52, 616.10 and 260.02

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Solution

The fourth proportional to 446.52, 616.10 and 260.02 is: 358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.52 : 616.10 = 260.02 : x
  2. Step 2: Convert to fraction form
    446.52/616.10 = 260.02/x
  3. Step 3: Cross multiply
    446.52x = 616.10 × 260.02
  4. Step 4: Simplify right side
    446.52x = 160,198.32
  5. Step 5: Solve for x
    x = 160,198.32/446.52
  6. Step 6: Final answer
    x = 358.77

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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.