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Finding the Fourth Proportional to 290.48, 398.56 and 262.64

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Solution

The fourth proportional to 290.48, 398.56 and 262.64 is: 360.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.48 : 398.56 = 262.64 : x
  2. Step 2: Convert to fraction form
    290.48/398.56 = 262.64/x
  3. Step 3: Cross multiply
    290.48x = 398.56 × 262.64
  4. Step 4: Simplify right side
    290.48x = 104,677.80
  5. Step 5: Solve for x
    x = 104,677.80/290.48
  6. Step 6: Final answer
    x = 360.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.