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Finding the Fourth Proportional to 501.88, 753.08 and 213.24

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Solution

The fourth proportional to 501.88, 753.08 and 213.24 is: 319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.88 : 753.08 = 213.24 : x
  2. Step 2: Convert to fraction form
    501.88/753.08 = 213.24/x
  3. Step 3: Cross multiply
    501.88x = 753.08 × 213.24
  4. Step 4: Simplify right side
    501.88x = 160,586.78
  5. Step 5: Solve for x
    x = 160,586.78/501.88
  6. Step 6: Final answer
    x = 319.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.