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Finding the Fourth Proportional to 336.70, 463.71 and 258.94

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Solution

The fourth proportional to 336.70, 463.71 and 258.94 is: 356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.70 : 463.71 = 258.94 : x
  2. Step 2: Convert to fraction form
    336.70/463.71 = 258.94/x
  3. Step 3: Cross multiply
    336.70x = 463.71 × 258.94
  4. Step 4: Simplify right side
    336.70x = 120,073.07
  5. Step 5: Solve for x
    x = 120,073.07/336.70
  6. Step 6: Final answer
    x = 356.62

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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.