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Finding the Fourth Proportional to 515.49, 773.23 and 438.27

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Solution

The fourth proportional to 515.49, 773.23 and 438.27 is: 657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.49 : 773.23 = 438.27 : x
  2. Step 2: Convert to fraction form
    515.49/773.23 = 438.27/x
  3. Step 3: Cross multiply
    515.49x = 773.23 × 438.27
  4. Step 4: Simplify right side
    515.49x = 338,883.51
  5. Step 5: Solve for x
    x = 338,883.51/515.49
  6. Step 6: Final answer
    x = 657.40

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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.