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Finding the Fourth Proportional to 289.32, 399.60 and 265.92

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Solution

The fourth proportional to 289.32, 399.60 and 265.92 is: 367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.32 : 399.60 = 265.92 : x
  2. Step 2: Convert to fraction form
    289.32/399.60 = 265.92/x
  3. Step 3: Cross multiply
    289.32x = 399.60 × 265.92
  4. Step 4: Simplify right side
    289.32x = 106,261.63
  5. Step 5: Solve for x
    x = 106,261.63/289.32
  6. Step 6: Final answer
    x = 367.28

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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.