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Finding the Fourth Proportional to 695.24, 1,042.98 and 208.24

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Solution

The fourth proportional to 695.24, 1,042.98 and 208.24 is: 312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.24 : 1,042.98 = 208.24 : x
  2. Step 2: Convert to fraction form
    695.24/1,042.98 = 208.24/x
  3. Step 3: Cross multiply
    695.24x = 1,042.98 × 208.24
  4. Step 4: Simplify right side
    695.24x = 217,190.16
  5. Step 5: Solve for x
    x = 217,190.16/695.24
  6. Step 6: Final answer
    x = 312.40

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Why These Related Problems?

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