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Finding the Fourth Proportional to 347.24, 475.43 and 346.02

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Solution

The fourth proportional to 347.24, 475.43 and 346.02 is: 473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.24 : 475.43 = 346.02 : x
  2. Step 2: Convert to fraction form
    347.24/475.43 = 346.02/x
  3. Step 3: Cross multiply
    347.24x = 475.43 × 346.02
  4. Step 4: Simplify right side
    347.24x = 164,506.56
  5. Step 5: Solve for x
    x = 164,506.56/347.24
  6. Step 6: Final answer
    x = 473.76

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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.