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Finding the Fourth Proportional to 515.69, 772.14 and 309.96

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Solution

The fourth proportional to 515.69, 772.14 and 309.96 is: 464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.69 : 772.14 = 309.96 : x
  2. Step 2: Convert to fraction form
    515.69/772.14 = 309.96/x
  3. Step 3: Cross multiply
    515.69x = 772.14 × 309.96
  4. Step 4: Simplify right side
    515.69x = 239,332.51
  5. Step 5: Solve for x
    x = 239,332.51/515.69
  6. Step 6: Final answer
    x = 464.11

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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.