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Finding the Fourth Proportional to 292.83, 401.97 and 260.03

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Solution

The fourth proportional to 292.83, 401.97 and 260.03 is: 356.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.83 : 401.97 = 260.03 : x
  2. Step 2: Convert to fraction form
    292.83/401.97 = 260.03/x
  3. Step 3: Cross multiply
    292.83x = 401.97 × 260.03
  4. Step 4: Simplify right side
    292.83x = 104,522.25
  5. Step 5: Solve for x
    x = 104,522.25/292.83
  6. Step 6: Final answer
    x = 356.94

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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.