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Finding the Fourth Proportional to 362.96, 543.24 and 265.10

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Solution

The fourth proportional to 362.96, 543.24 and 265.10 is: 396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.96 : 543.24 = 265.10 : x
  2. Step 2: Convert to fraction form
    362.96/543.24 = 265.10/x
  3. Step 3: Cross multiply
    362.96x = 543.24 × 265.10
  4. Step 4: Simplify right side
    362.96x = 144,012.92
  5. Step 5: Solve for x
    x = 144,012.92/362.96
  6. Step 6: Final answer
    x = 396.77

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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.