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Finding the Fourth Proportional to 394.32, 544.28 and 307.12

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Solution

The fourth proportional to 394.32, 544.28 and 307.12 is: 423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.32 : 544.28 = 307.12 : x
  2. Step 2: Convert to fraction form
    394.32/544.28 = 307.12/x
  3. Step 3: Cross multiply
    394.32x = 544.28 × 307.12
  4. Step 4: Simplify right side
    394.32x = 167,159.27
  5. Step 5: Solve for x
    x = 167,159.27/394.32
  6. Step 6: Final answer
    x = 423.92

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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.