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Finding the Fourth Proportional to 336.84, 463.80 and 297.96

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Solution

The fourth proportional to 336.84, 463.80 and 297.96 is: 410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.84 : 463.80 = 297.96 : x
  2. Step 2: Convert to fraction form
    336.84/463.80 = 297.96/x
  3. Step 3: Cross multiply
    336.84x = 463.80 × 297.96
  4. Step 4: Simplify right side
    336.84x = 138,193.85
  5. Step 5: Solve for x
    x = 138,193.85/336.84
  6. Step 6: Final answer
    x = 410.27

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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.