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Finding the Fourth Proportional to 473.49, 653.22 and 298.80

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Solution

The fourth proportional to 473.49, 653.22 and 298.80 is: 412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.49 : 653.22 = 298.80 : x
  2. Step 2: Convert to fraction form
    473.49/653.22 = 298.80/x
  3. Step 3: Cross multiply
    473.49x = 653.22 × 298.80
  4. Step 4: Simplify right side
    473.49x = 195,182.14
  5. Step 5: Solve for x
    x = 195,182.14/473.49
  6. Step 6: Final answer
    x = 412.22

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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.