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Finding the Fourth Proportional to 402.24, 554.96 and 262.52

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Solution

The fourth proportional to 402.24, 554.96 and 262.52 is: 362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.24 : 554.96 = 262.52 : x
  2. Step 2: Convert to fraction form
    402.24/554.96 = 262.52/x
  3. Step 3: Cross multiply
    402.24x = 554.96 × 262.52
  4. Step 4: Simplify right side
    402.24x = 145,688.10
  5. Step 5: Solve for x
    x = 145,688.10/402.24
  6. Step 6: Final answer
    x = 362.19

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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.