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Finding the Fourth Proportional to 395.20, 543.72 and 384.40

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Solution

The fourth proportional to 395.20, 543.72 and 384.40 is: 528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.20 : 543.72 = 384.40 : x
  2. Step 2: Convert to fraction form
    395.20/543.72 = 384.40/x
  3. Step 3: Cross multiply
    395.20x = 543.72 × 384.40
  4. Step 4: Simplify right side
    395.20x = 209,005.97
  5. Step 5: Solve for x
    x = 209,005.97/395.20
  6. Step 6: Final answer
    x = 528.86

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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.