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Finding the Fourth Proportional to 283.23, 390.69 and 209.52

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Solution

The fourth proportional to 283.23, 390.69 and 209.52 is: 289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.23 : 390.69 = 209.52 : x
  2. Step 2: Convert to fraction form
    283.23/390.69 = 209.52/x
  3. Step 3: Cross multiply
    283.23x = 390.69 × 209.52
  4. Step 4: Simplify right side
    283.23x = 81,857.37
  5. Step 5: Solve for x
    x = 81,857.37/283.23
  6. Step 6: Final answer
    x = 289.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.