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Finding the Fourth Proportional to 289.90, 400.83 and 253.45

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Solution

The fourth proportional to 289.90, 400.83 and 253.45 is: 350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.90 : 400.83 = 253.45 : x
  2. Step 2: Convert to fraction form
    289.90/400.83 = 253.45/x
  3. Step 3: Cross multiply
    289.90x = 400.83 × 253.45
  4. Step 4: Simplify right side
    289.90x = 101,590.36
  5. Step 5: Solve for x
    x = 101,590.36/289.90
  6. Step 6: Final answer
    x = 350.43

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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.