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Finding the Fourth Proportional to 504.46, 758.13 and 248.14

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Solution

The fourth proportional to 504.46, 758.13 and 248.14 is: 372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.46 : 758.13 = 248.14 : x
  2. Step 2: Convert to fraction form
    504.46/758.13 = 248.14/x
  3. Step 3: Cross multiply
    504.46x = 758.13 × 248.14
  4. Step 4: Simplify right side
    504.46x = 188,122.38
  5. Step 5: Solve for x
    x = 188,122.38/504.46
  6. Step 6: Final answer
    x = 372.92

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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.