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Finding the Fourth Proportional to 510.57, 771.39 and 506.25

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Solution

The fourth proportional to 510.57, 771.39 and 506.25 is: 764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.57 : 771.39 = 506.25 : x
  2. Step 2: Convert to fraction form
    510.57/771.39 = 506.25/x
  3. Step 3: Cross multiply
    510.57x = 771.39 × 506.25
  4. Step 4: Simplify right side
    510.57x = 390,516.19
  5. Step 5: Solve for x
    x = 390,516.19/510.57
  6. Step 6: Final answer
    x = 764.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.