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Finding the Fourth Proportional to 397.04, 547.68 and 342.08

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Solution

The fourth proportional to 397.04, 547.68 and 342.08 is: 471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.04 : 547.68 = 342.08 : x
  2. Step 2: Convert to fraction form
    397.04/547.68 = 342.08/x
  3. Step 3: Cross multiply
    397.04x = 547.68 × 342.08
  4. Step 4: Simplify right side
    397.04x = 187,350.37
  5. Step 5: Solve for x
    x = 187,350.37/397.04
  6. Step 6: Final answer
    x = 471.87

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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.