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Finding the Fourth Proportional to 397.17, 547.83 and 298.89

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Solution

The fourth proportional to 397.17, 547.83 and 298.89 is: 412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.17 : 547.83 = 298.89 : x
  2. Step 2: Convert to fraction form
    397.17/547.83 = 298.89/x
  3. Step 3: Cross multiply
    397.17x = 547.83 × 298.89
  4. Step 4: Simplify right side
    397.17x = 163,740.91
  5. Step 5: Solve for x
    x = 163,740.91/397.17
  6. Step 6: Final answer
    x = 412.27

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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.