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Finding the Fourth Proportional to 397.45, 547.99 and 347.46

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Solution

The fourth proportional to 397.45, 547.99 and 347.46 is: 479.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.45 : 547.99 = 347.46 : x
  2. Step 2: Convert to fraction form
    397.45/547.99 = 347.46/x
  3. Step 3: Cross multiply
    397.45x = 547.99 × 347.46
  4. Step 4: Simplify right side
    397.45x = 190,404.61
  5. Step 5: Solve for x
    x = 190,404.61/397.45
  6. Step 6: Final answer
    x = 479.07

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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.