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Finding the Fourth Proportional to 473.60, 653.24 and 298.85

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Solution

The fourth proportional to 473.60, 653.24 and 298.85 is: 412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.60 : 653.24 = 298.85 : x
  2. Step 2: Convert to fraction form
    473.60/653.24 = 298.85/x
  3. Step 3: Cross multiply
    473.60x = 653.24 × 298.85
  4. Step 4: Simplify right side
    473.60x = 195,218.25
  5. Step 5: Solve for x
    x = 195,218.25/473.60
  6. Step 6: Final answer
    x = 412.20

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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.