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Finding the Fourth Proportional to 411.32, 616.34 and 259

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Solution

The fourth proportional to 411.32, 616.34 and 259 is: 388.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.32 : 616.34 = 259 : x
  2. Step 2: Convert to fraction form
    411.32/616.34 = 259/x
  3. Step 3: Cross multiply
    411.32x = 616.34 × 259
  4. Step 4: Simplify right side
    411.32x = 159,632.06
  5. Step 5: Solve for x
    x = 159,632.06/411.32
  6. Step 6: Final answer
    x = 388.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.