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Finding the Fourth Proportional to 446.52, 616.20 and 260.01

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Solution

The fourth proportional to 446.52, 616.20 and 260.01 is: 358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.52 : 616.20 = 260.01 : x
  2. Step 2: Convert to fraction form
    446.52/616.20 = 260.01/x
  3. Step 3: Cross multiply
    446.52x = 616.20 × 260.01
  4. Step 4: Simplify right side
    446.52x = 160,218.16
  5. Step 5: Solve for x
    x = 160,218.16/446.52
  6. Step 6: Final answer
    x = 358.82

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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.