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Finding the Fourth Proportional to 537.21, 740.93 and 350.76

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Solution

The fourth proportional to 537.21, 740.93 and 350.76 is: 483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.21 : 740.93 = 350.76 : x
  2. Step 2: Convert to fraction form
    537.21/740.93 = 350.76/x
  3. Step 3: Cross multiply
    537.21x = 740.93 × 350.76
  4. Step 4: Simplify right side
    537.21x = 259,889.63
  5. Step 5: Solve for x
    x = 259,889.63/537.21
  6. Step 6: Final answer
    x = 483.78

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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.