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Finding the Fourth Proportional to 510.30, 764.28 and 266.22

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Solution

The fourth proportional to 510.30, 764.28 and 266.22 is: 398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.30 : 764.28 = 266.22 : x
  2. Step 2: Convert to fraction form
    510.30/764.28 = 266.22/x
  3. Step 3: Cross multiply
    510.30x = 764.28 × 266.22
  4. Step 4: Simplify right side
    510.30x = 203,466.62
  5. Step 5: Solve for x
    x = 203,466.62/510.30
  6. Step 6: Final answer
    x = 398.72

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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.