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Finding the Fourth Proportional to 402.96, 604.68 and 265.92

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Solution

The fourth proportional to 402.96, 604.68 and 265.92 is: 399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.96 : 604.68 = 265.92 : x
  2. Step 2: Convert to fraction form
    402.96/604.68 = 265.92/x
  3. Step 3: Cross multiply
    402.96x = 604.68 × 265.92
  4. Step 4: Simplify right side
    402.96x = 160,796.51
  5. Step 5: Solve for x
    x = 160,796.51/402.96
  6. Step 6: Final answer
    x = 399.04

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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.