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Finding the Fourth Proportional to 309.81, 463.77 and 266.07

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Solution

The fourth proportional to 309.81, 463.77 and 266.07 is: 398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.81 : 463.77 = 266.07 : x
  2. Step 2: Convert to fraction form
    309.81/463.77 = 266.07/x
  3. Step 3: Cross multiply
    309.81x = 463.77 × 266.07
  4. Step 4: Simplify right side
    309.81x = 123,395.28
  5. Step 5: Solve for x
    x = 123,395.28/309.81
  6. Step 6: Final answer
    x = 398.29

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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.