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Finding the Fourth Proportional to 473.06, 652.92 and 298.82

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Solution

The fourth proportional to 473.06, 652.92 and 298.82 is: 412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.06 : 652.92 = 298.82 : x
  2. Step 2: Convert to fraction form
    473.06/652.92 = 298.82/x
  3. Step 3: Cross multiply
    473.06x = 652.92 × 298.82
  4. Step 4: Simplify right side
    473.06x = 195,105.55
  5. Step 5: Solve for x
    x = 195,105.55/473.06
  6. Step 6: Final answer
    x = 412.43

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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.