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Finding the Fourth Proportional to 695.23, 1,042.84 and 278.95

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Solution

The fourth proportional to 695.23, 1,042.84 and 278.95 is: 418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.23 : 1,042.84 = 278.95 : x
  2. Step 2: Convert to fraction form
    695.23/1,042.84 = 278.95/x
  3. Step 3: Cross multiply
    695.23x = 1,042.84 × 278.95
  4. Step 4: Simplify right side
    695.23x = 290,894.31
  5. Step 5: Solve for x
    x = 290,894.31/695.23
  6. Step 6: Final answer
    x = 418.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.