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Finding the Fourth Proportional to 288.94, 398.53 and 279.42

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Solution

The fourth proportional to 288.94, 398.53 and 279.42 is: 385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.94 : 398.53 = 279.42 : x
  2. Step 2: Convert to fraction form
    288.94/398.53 = 279.42/x
  3. Step 3: Cross multiply
    288.94x = 398.53 × 279.42
  4. Step 4: Simplify right side
    288.94x = 111,357.25
  5. Step 5: Solve for x
    x = 111,357.25/288.94
  6. Step 6: Final answer
    x = 385.40

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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.