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Finding the Fourth Proportional to 537.92, 805.80 and 306.86

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Solution

The fourth proportional to 537.92, 805.80 and 306.86 is: 459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.92 : 805.80 = 306.86 : x
  2. Step 2: Convert to fraction form
    537.92/805.80 = 306.86/x
  3. Step 3: Cross multiply
    537.92x = 805.80 × 306.86
  4. Step 4: Simplify right side
    537.92x = 247,267.79
  5. Step 5: Solve for x
    x = 247,267.79/537.92
  6. Step 6: Final answer
    x = 459.67

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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.