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Finding the Fourth Proportional to 537.64, 806.68 and 248.90

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Solution

The fourth proportional to 537.64, 806.68 and 248.90 is: 373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.64 : 806.68 = 248.90 : x
  2. Step 2: Convert to fraction form
    537.64/806.68 = 248.90/x
  3. Step 3: Cross multiply
    537.64x = 806.68 × 248.90
  4. Step 4: Simplify right side
    537.64x = 200,782.65
  5. Step 5: Solve for x
    x = 200,782.65/537.64
  6. Step 6: Final answer
    x = 373.45

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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.