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Finding the Fourth Proportional to 394.56, 587.28 and 384.32

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Solution

The fourth proportional to 394.56, 587.28 and 384.32 is: 572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.56 : 587.28 = 384.32 : x
  2. Step 2: Convert to fraction form
    394.56/587.28 = 384.32/x
  3. Step 3: Cross multiply
    394.56x = 587.28 × 384.32
  4. Step 4: Simplify right side
    394.56x = 225,703.45
  5. Step 5: Solve for x
    x = 225,703.45/394.56
  6. Step 6: Final answer
    x = 572.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.