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Finding the Fourth Proportional to 473.20, 653.24 and 298.56

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Solution

The fourth proportional to 473.20, 653.24 and 298.56 is: 412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.20 : 653.24 = 298.56 : x
  2. Step 2: Convert to fraction form
    473.20/653.24 = 298.56/x
  3. Step 3: Cross multiply
    473.20x = 653.24 × 298.56
  4. Step 4: Simplify right side
    473.20x = 195,031.33
  5. Step 5: Solve for x
    x = 195,031.33/473.20
  6. Step 6: Final answer
    x = 412.15

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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.