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Finding the Fourth Proportional to 515.09, 776.26 and 463.79

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Solution

The fourth proportional to 515.09, 776.26 and 463.79 is: 698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.09 : 776.26 = 463.79 : x
  2. Step 2: Convert to fraction form
    515.09/776.26 = 463.79/x
  3. Step 3: Cross multiply
    515.09x = 776.26 × 463.79
  4. Step 4: Simplify right side
    515.09x = 360,019.31
  5. Step 5: Solve for x
    x = 360,019.31/515.09
  6. Step 6: Final answer
    x = 698.94

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Why These Related Problems?

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