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Finding the Fourth Proportional to 345.98, 477.26 and 262.94

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Solution

The fourth proportional to 345.98, 477.26 and 262.94 is: 362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.98 : 477.26 = 262.94 : x
  2. Step 2: Convert to fraction form
    345.98/477.26 = 262.94/x
  3. Step 3: Cross multiply
    345.98x = 477.26 × 262.94
  4. Step 4: Simplify right side
    345.98x = 125,489.02
  5. Step 5: Solve for x
    x = 125,489.02/345.98
  6. Step 6: Final answer
    x = 362.71

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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.