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Finding the Fourth Proportional to 364.23, 544.86 and 295.92

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Solution

The fourth proportional to 364.23, 544.86 and 295.92 is: 442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.23 : 544.86 = 295.92 : x
  2. Step 2: Convert to fraction form
    364.23/544.86 = 295.92/x
  3. Step 3: Cross multiply
    364.23x = 544.86 × 295.92
  4. Step 4: Simplify right side
    364.23x = 161,234.97
  5. Step 5: Solve for x
    x = 161,234.97/364.23
  6. Step 6: Final answer
    x = 442.67

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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.