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Finding the Fourth Proportional to 394.66, 544.50 and 228.83

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Solution

The fourth proportional to 394.66, 544.50 and 228.83 is: 315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.66 : 544.50 = 228.83 : x
  2. Step 2: Convert to fraction form
    394.66/544.50 = 228.83/x
  3. Step 3: Cross multiply
    394.66x = 544.50 × 228.83
  4. Step 4: Simplify right side
    394.66x = 124,595.21
  5. Step 5: Solve for x
    x = 124,595.21/394.66
  6. Step 6: Final answer
    x = 315.70

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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.