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Finding the Fourth Proportional to 353.68, 488.55 and 298.72

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Solution

The fourth proportional to 353.68, 488.55 and 298.72 is: 412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.68 : 488.55 = 298.72 : x
  2. Step 2: Convert to fraction form
    353.68/488.55 = 298.72/x
  3. Step 3: Cross multiply
    353.68x = 488.55 × 298.72
  4. Step 4: Simplify right side
    353.68x = 145,939.66
  5. Step 5: Solve for x
    x = 145,939.66/353.68
  6. Step 6: Final answer
    x = 412.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.