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Finding the Fourth Proportional to 397.01, 548.08 and 299.00

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Solution

The fourth proportional to 397.01, 548.08 and 299.00 is: 412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.01 : 548.08 = 299.00 : x
  2. Step 2: Convert to fraction form
    397.01/548.08 = 299.00/x
  3. Step 3: Cross multiply
    397.01x = 548.08 × 299.00
  4. Step 4: Simplify right side
    397.01x = 163,872.43
  5. Step 5: Solve for x
    x = 163,872.43/397.01
  6. Step 6: Final answer
    x = 412.77

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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.