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Finding the Fourth Proportional to 397.33, 547.62 and 298.93

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Solution

The fourth proportional to 397.33, 547.62 and 298.93 is: 412.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.33 : 547.62 = 298.93 : x
  2. Step 2: Convert to fraction form
    397.33/547.62 = 298.93/x
  3. Step 3: Cross multiply
    397.33x = 547.62 × 298.93
  4. Step 4: Simplify right side
    397.33x = 163,700.05
  5. Step 5: Solve for x
    x = 163,700.05/397.33
  6. Step 6: Final answer
    x = 412.00

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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.