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Finding the Fourth Proportional to 467.46, 643.41 and 411.84

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Solution

The fourth proportional to 467.46, 643.41 and 411.84 is: 566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.46 : 643.41 = 411.84 : x
  2. Step 2: Convert to fraction form
    467.46/643.41 = 411.84/x
  3. Step 3: Cross multiply
    467.46x = 643.41 × 411.84
  4. Step 4: Simplify right side
    467.46x = 264,981.97
  5. Step 5: Solve for x
    x = 264,981.97/467.46
  6. Step 6: Final answer
    x = 566.85

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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.