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Finding the Fourth Proportional to 398.40, 547.20 and 388.80

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Solution

The fourth proportional to 398.40, 547.20 and 388.80 is: 534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.40 : 547.20 = 388.80 : x
  2. Step 2: Convert to fraction form
    398.40/547.20 = 388.80/x
  3. Step 3: Cross multiply
    398.40x = 547.20 × 388.80
  4. Step 4: Simplify right side
    398.40x = 212,751.36
  5. Step 5: Solve for x
    x = 212,751.36/398.40
  6. Step 6: Final answer
    x = 534.01

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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.