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Finding the Fourth Proportional to 335.52, 501.12 and 298.80

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Solution

The fourth proportional to 335.52, 501.12 and 298.80 is: 446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.52 : 501.12 = 298.80 : x
  2. Step 2: Convert to fraction form
    335.52/501.12 = 298.80/x
  3. Step 3: Cross multiply
    335.52x = 501.12 × 298.80
  4. Step 4: Simplify right side
    335.52x = 149,734.66
  5. Step 5: Solve for x
    x = 149,734.66/335.52
  6. Step 6: Final answer
    x = 446.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.