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Finding the Fourth Proportional to 510.56, 765.24 and 266.72

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Solution

The fourth proportional to 510.56, 765.24 and 266.72 is: 399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.56 : 765.24 = 266.72 : x
  2. Step 2: Convert to fraction form
    510.56/765.24 = 266.72/x
  3. Step 3: Cross multiply
    510.56x = 765.24 × 266.72
  4. Step 4: Simplify right side
    510.56x = 204,104.81
  5. Step 5: Solve for x
    x = 204,104.81/510.56
  6. Step 6: Final answer
    x = 399.77

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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.