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Finding the Fourth Proportional to 400.61, 601.00 and 227.36

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Solution

The fourth proportional to 400.61, 601.00 and 227.36 is: 341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.61 : 601.00 = 227.36 : x
  2. Step 2: Convert to fraction form
    400.61/601.00 = 227.36/x
  3. Step 3: Cross multiply
    400.61x = 601.00 × 227.36
  4. Step 4: Simplify right side
    400.61x = 136,639.22
  5. Step 5: Solve for x
    x = 136,639.22/400.61
  6. Step 6: Final answer
    x = 341.08

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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.