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Finding the Fourth Proportional to 537.72, 807.84 and 528.36

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Solution

The fourth proportional to 537.72, 807.84 and 528.36 is: 793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.72 : 807.84 = 528.36 : x
  2. Step 2: Convert to fraction form
    537.72/807.84 = 528.36/x
  3. Step 3: Cross multiply
    537.72x = 807.84 × 528.36
  4. Step 4: Simplify right side
    537.72x = 426,830.34
  5. Step 5: Solve for x
    x = 426,830.34/537.72
  6. Step 6: Final answer
    x = 793.78

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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.