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Finding the Fourth Proportional to 537.84, 800.48 and 534.80

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Solution

The fourth proportional to 537.84, 800.48 and 534.80 is: 795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.84 : 800.48 = 534.80 : x
  2. Step 2: Convert to fraction form
    537.84/800.48 = 534.80/x
  3. Step 3: Cross multiply
    537.84x = 800.48 × 534.80
  4. Step 4: Simplify right side
    537.84x = 428,100.04
  5. Step 5: Solve for x
    x = 428,100.04/537.84
  6. Step 6: Final answer
    x = 795.96

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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.