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Finding the Fourth Proportional to 366.23, 547.86 and 297.92

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Solution

The fourth proportional to 366.23, 547.86 and 297.92 is: 445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.23 : 547.86 = 297.92 : x
  2. Step 2: Convert to fraction form
    366.23/547.86 = 297.92/x
  3. Step 3: Cross multiply
    366.23x = 547.86 × 297.92
  4. Step 4: Simplify right side
    366.23x = 163,218.45
  5. Step 5: Solve for x
    x = 163,218.45/366.23
  6. Step 6: Final answer
    x = 445.67

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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.