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Finding the Fourth Proportional to 537.88, 807.38 and 384

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Solution

The fourth proportional to 537.88, 807.38 and 384 is: 576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.88 : 807.38 = 384 : x
  2. Step 2: Convert to fraction form
    537.88/807.38 = 384/x
  3. Step 3: Cross multiply
    537.88x = 807.38 × 384
  4. Step 4: Simplify right side
    537.88x = 310,033.92
  5. Step 5: Solve for x
    x = 310,033.92/537.88
  6. Step 6: Final answer
    x = 576.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.