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Finding the Fourth Proportional to 293.66, 442.82 and 288.18

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Solution

The fourth proportional to 293.66, 442.82 and 288.18 is: 434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.66 : 442.82 = 288.18 : x
  2. Step 2: Convert to fraction form
    293.66/442.82 = 288.18/x
  3. Step 3: Cross multiply
    293.66x = 442.82 × 288.18
  4. Step 4: Simplify right side
    293.66x = 127,610.43
  5. Step 5: Solve for x
    x = 127,610.43/293.66
  6. Step 6: Final answer
    x = 434.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.