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Finding the Fourth Proportional to 537.24, 804.45 and 341.76

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Solution

The fourth proportional to 537.24, 804.45 and 341.76 is: 511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.24 : 804.45 = 341.76 : x
  2. Step 2: Convert to fraction form
    537.24/804.45 = 341.76/x
  3. Step 3: Cross multiply
    537.24x = 804.45 × 341.76
  4. Step 4: Simplify right side
    537.24x = 274,928.83
  5. Step 5: Solve for x
    x = 274,928.83/537.24
  6. Step 6: Final answer
    x = 511.74

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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.