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Finding the Fourth Proportional to 393.24, 590.02 and 208.10

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Solution

The fourth proportional to 393.24, 590.02 and 208.10 is: 312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.24 : 590.02 = 208.10 : x
  2. Step 2: Convert to fraction form
    393.24/590.02 = 208.10/x
  3. Step 3: Cross multiply
    393.24x = 590.02 × 208.10
  4. Step 4: Simplify right side
    393.24x = 122,782.23
  5. Step 5: Solve for x
    x = 122,782.23/393.24
  6. Step 6: Final answer
    x = 312.23

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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.