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Finding the Fourth Proportional to 298.40, 447.12 and 287.84

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Solution

The fourth proportional to 298.40, 447.12 and 287.84 is: 431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.40 : 447.12 = 287.84 : x
  2. Step 2: Convert to fraction form
    298.40/447.12 = 287.84/x
  3. Step 3: Cross multiply
    298.40x = 447.12 × 287.84
  4. Step 4: Simplify right side
    298.40x = 128,699.02
  5. Step 5: Solve for x
    x = 128,699.02/298.40
  6. Step 6: Final answer
    x = 431.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.