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Finding the Fourth Proportional to 399.04, 597.30 and 252.28

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Solution

The fourth proportional to 399.04, 597.30 and 252.28 is: 377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.04 : 597.30 = 252.28 : x
  2. Step 2: Convert to fraction form
    399.04/597.30 = 252.28/x
  3. Step 3: Cross multiply
    399.04x = 597.30 × 252.28
  4. Step 4: Simplify right side
    399.04x = 150,686.84
  5. Step 5: Solve for x
    x = 150,686.84/399.04
  6. Step 6: Final answer
    x = 377.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.