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Finding the Fourth Proportional to 473.30, 653.25 and 298.61

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Solution

The fourth proportional to 473.30, 653.25 and 298.61 is: 412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.30 : 653.25 = 298.61 : x
  2. Step 2: Convert to fraction form
    473.30/653.25 = 298.61/x
  3. Step 3: Cross multiply
    473.30x = 653.25 × 298.61
  4. Step 4: Simplify right side
    473.30x = 195,062.22
  5. Step 5: Solve for x
    x = 195,062.22/473.30
  6. Step 6: Final answer
    x = 412.14

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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.