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Finding the Fourth Proportional to 394.13, 544.00 and 228.32

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Solution

The fourth proportional to 394.13, 544.00 and 228.32 is: 315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.13 : 544.00 = 228.32 : x
  2. Step 2: Convert to fraction form
    394.13/544.00 = 228.32/x
  3. Step 3: Cross multiply
    394.13x = 544.00 × 228.32
  4. Step 4: Simplify right side
    394.13x = 124,208.01
  5. Step 5: Solve for x
    x = 124,208.01/394.13
  6. Step 6: Final answer
    x = 315.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.