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Finding the Fourth Proportional to 399.48, 599.10 and 142.92

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Solution

The fourth proportional to 399.48, 599.10 and 142.92 is: 214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.48 : 599.10 = 142.92 : x
  2. Step 2: Convert to fraction form
    399.48/599.10 = 142.92/x
  3. Step 3: Cross multiply
    399.48x = 599.10 × 142.92
  4. Step 4: Simplify right side
    399.48x = 85,623.37
  5. Step 5: Solve for x
    x = 85,623.37/399.48
  6. Step 6: Final answer
    x = 214.34

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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.