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Finding the Fourth Proportional to 400.86, 601.74 and 297.90

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Solution

The fourth proportional to 400.86, 601.74 and 297.90 is: 447.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.86 : 601.74 = 297.90 : x
  2. Step 2: Convert to fraction form
    400.86/601.74 = 297.90/x
  3. Step 3: Cross multiply
    400.86x = 601.74 × 297.90
  4. Step 4: Simplify right side
    400.86x = 179,258.35
  5. Step 5: Solve for x
    x = 179,258.35/400.86
  6. Step 6: Final answer
    x = 447.18

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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.