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Finding the Fourth Proportional to 336.48, 463.83 and 274.08

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Solution

The fourth proportional to 336.48, 463.83 and 274.08 is: 377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.48 : 463.83 = 274.08 : x
  2. Step 2: Convert to fraction form
    336.48/463.83 = 274.08/x
  3. Step 3: Cross multiply
    336.48x = 463.83 × 274.08
  4. Step 4: Simplify right side
    336.48x = 127,126.53
  5. Step 5: Solve for x
    x = 127,126.53/336.48
  6. Step 6: Final answer
    x = 377.81

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Why These Related Problems?

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