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Finding the Fourth Proportional to 476.92, 658.74 and 411.40

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Solution

The fourth proportional to 476.92, 658.74 and 411.40 is: 568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.92 : 658.74 = 411.40 : x
  2. Step 2: Convert to fraction form
    476.92/658.74 = 411.40/x
  3. Step 3: Cross multiply
    476.92x = 658.74 × 411.40
  4. Step 4: Simplify right side
    476.92x = 271,005.64
  5. Step 5: Solve for x
    x = 271,005.64/476.92
  6. Step 6: Final answer
    x = 568.24

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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.