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Finding the Fourth Proportional to 336.29, 463.86 and 266.22

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Solution

The fourth proportional to 336.29, 463.86 and 266.22 is: 367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.29 : 463.86 = 266.22 : x
  2. Step 2: Convert to fraction form
    336.29/463.86 = 266.22/x
  3. Step 3: Cross multiply
    336.29x = 463.86 × 266.22
  4. Step 4: Simplify right side
    336.29x = 123,488.81
  5. Step 5: Solve for x
    x = 123,488.81/336.29
  6. Step 6: Final answer
    x = 367.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.