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Finding the Fourth Proportional to 347.48, 476.37 and 341.34

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Solution

The fourth proportional to 347.48, 476.37 and 341.34 is: 467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.48 : 476.37 = 341.34 : x
  2. Step 2: Convert to fraction form
    347.48/476.37 = 341.34/x
  3. Step 3: Cross multiply
    347.48x = 476.37 × 341.34
  4. Step 4: Simplify right side
    347.48x = 162,604.14
  5. Step 5: Solve for x
    x = 162,604.14/347.48
  6. Step 6: Final answer
    x = 467.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.