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Finding the Fourth Proportional to 474.73, 653.52 and 411.70

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Solution

The fourth proportional to 474.73, 653.52 and 411.70 is: 566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.73 : 653.52 = 411.70 : x
  2. Step 2: Convert to fraction form
    474.73/653.52 = 411.70/x
  3. Step 3: Cross multiply
    474.73x = 653.52 × 411.70
  4. Step 4: Simplify right side
    474.73x = 269,054.18
  5. Step 5: Solve for x
    x = 269,054.18/474.73
  6. Step 6: Final answer
    x = 566.75

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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.