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Finding the Fourth Proportional to 347.54, 475.38 and 346.46

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Solution

The fourth proportional to 347.54, 475.38 and 346.46 is: 473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.54 : 475.38 = 346.46 : x
  2. Step 2: Convert to fraction form
    347.54/475.38 = 346.46/x
  3. Step 3: Cross multiply
    347.54x = 475.38 × 346.46
  4. Step 4: Simplify right side
    347.54x = 164,700.15
  5. Step 5: Solve for x
    x = 164,700.15/347.54
  6. Step 6: Final answer
    x = 473.90

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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.