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Finding the Fourth Proportional to 399.60, 548.10 and 383.40

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Solution

The fourth proportional to 399.60, 548.10 and 383.40 is: 525.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.60 : 548.10 = 383.40 : x
  2. Step 2: Convert to fraction form
    399.60/548.10 = 383.40/x
  3. Step 3: Cross multiply
    399.60x = 548.10 × 383.40
  4. Step 4: Simplify right side
    399.60x = 210,141.54
  5. Step 5: Solve for x
    x = 210,141.54/399.60
  6. Step 6: Final answer
    x = 525.88

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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.