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Finding the Fourth Proportional to 473.85, 653.67 and 296.73

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Solution

The fourth proportional to 473.85, 653.67 and 296.73 is: 409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.85 : 653.67 = 296.73 : x
  2. Step 2: Convert to fraction form
    473.85/653.67 = 296.73/x
  3. Step 3: Cross multiply
    473.85x = 653.67 × 296.73
  4. Step 4: Simplify right side
    473.85x = 193,963.50
  5. Step 5: Solve for x
    x = 193,963.50/473.85
  6. Step 6: Final answer
    x = 409.34

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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.