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Finding the Fourth Proportional to 336.34, 501.71 and 297.46

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Solution

The fourth proportional to 336.34, 501.71 and 297.46 is: 443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.34 : 501.71 = 297.46 : x
  2. Step 2: Convert to fraction form
    336.34/501.71 = 297.46/x
  3. Step 3: Cross multiply
    336.34x = 501.71 × 297.46
  4. Step 4: Simplify right side
    336.34x = 149,238.66
  5. Step 5: Solve for x
    x = 149,238.66/336.34
  6. Step 6: Final answer
    x = 443.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.