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Finding the Fourth Proportional to 402, 554.87 and 262.47

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Solution

The fourth proportional to 402, 554.87 and 262.47 is: 362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402 : 554.87 = 262.47 : x
  2. Step 2: Convert to fraction form
    402/554.87 = 262.47/x
  3. Step 3: Cross multiply
    402x = 554.87 × 262.47
  4. Step 4: Simplify right side
    402x = 145,635.42
  5. Step 5: Solve for x
    x = 145,635.42/402
  6. Step 6: Final answer
    x = 362.28

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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.