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Finding the Fourth Proportional to 947.48, 1,420.72 and 298.04

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Solution

The fourth proportional to 947.48, 1,420.72 and 298.04 is: 446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.48 : 1,420.72 = 298.04 : x
  2. Step 2: Convert to fraction form
    947.48/1,420.72 = 298.04/x
  3. Step 3: Cross multiply
    947.48x = 1,420.72 × 298.04
  4. Step 4: Simplify right side
    947.48x = 423,431.39
  5. Step 5: Solve for x
    x = 423,431.39/947.48
  6. Step 6: Final answer
    x = 446.90

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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.