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Finding the Fourth Proportional to 292.60, 401.17 and 287.40

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Solution

The fourth proportional to 292.60, 401.17 and 287.40 is: 394.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.60 : 401.17 = 287.40 : x
  2. Step 2: Convert to fraction form
    292.60/401.17 = 287.40/x
  3. Step 3: Cross multiply
    292.60x = 401.17 × 287.40
  4. Step 4: Simplify right side
    292.60x = 115,296.26
  5. Step 5: Solve for x
    x = 115,296.26/292.60
  6. Step 6: Final answer
    x = 394.04

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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.