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Finding the Fourth Proportional to 394.01, 543.65 and 228.24

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Solution

The fourth proportional to 394.01, 543.65 and 228.24 is: 314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.01 : 543.65 = 228.24 : x
  2. Step 2: Convert to fraction form
    394.01/543.65 = 228.24/x
  3. Step 3: Cross multiply
    394.01x = 543.65 × 228.24
  4. Step 4: Simplify right side
    394.01x = 124,081.53
  5. Step 5: Solve for x
    x = 124,081.53/394.01
  6. Step 6: Final answer
    x = 314.92

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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.