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Finding the Fourth Proportional to 514.69, 772.32 and 206.53

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Solution

The fourth proportional to 514.69, 772.32 and 206.53 is: 309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.69 : 772.32 = 206.53 : x
  2. Step 2: Convert to fraction form
    514.69/772.32 = 206.53/x
  3. Step 3: Cross multiply
    514.69x = 772.32 × 206.53
  4. Step 4: Simplify right side
    514.69x = 159,507.25
  5. Step 5: Solve for x
    x = 159,507.25/514.69
  6. Step 6: Final answer
    x = 309.91

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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.