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Finding the Fourth Proportional to 462.78, 640.04 and 411.08

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Solution

The fourth proportional to 462.78, 640.04 and 411.08 is: 568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.78 : 640.04 = 411.08 : x
  2. Step 2: Convert to fraction form
    462.78/640.04 = 411.08/x
  3. Step 3: Cross multiply
    462.78x = 640.04 × 411.08
  4. Step 4: Simplify right side
    462.78x = 263,102.39
  5. Step 5: Solve for x
    x = 263,102.39/462.78
  6. Step 6: Final answer
    x = 568.53

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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.