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Finding the Fourth Proportional to 402.47, 555.02 and 262.69

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Solution

The fourth proportional to 402.47, 555.02 and 262.69 is: 362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.47 : 555.02 = 262.69 : x
  2. Step 2: Convert to fraction form
    402.47/555.02 = 262.69/x
  3. Step 3: Cross multiply
    402.47x = 555.02 × 262.69
  4. Step 4: Simplify right side
    402.47x = 145,801.09
  5. Step 5: Solve for x
    x = 145,801.09/402.47
  6. Step 6: Final answer
    x = 362.27

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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.