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Finding the Fourth Proportional to 708.18, 1,062.24 and 275.32

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Solution

The fourth proportional to 708.18, 1,062.24 and 275.32 is: 412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.18 : 1,062.24 = 275.32 : x
  2. Step 2: Convert to fraction form
    708.18/1,062.24 = 275.32/x
  3. Step 3: Cross multiply
    708.18x = 1,062.24 × 275.32
  4. Step 4: Simplify right side
    708.18x = 292,455.92
  5. Step 5: Solve for x
    x = 292,455.92/708.18
  6. Step 6: Final answer
    x = 412.97

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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.