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Finding the Fourth Proportional to 708.37, 1,062.84 and 318.10

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Solution

The fourth proportional to 708.37, 1,062.84 and 318.10 is: 477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.37 : 1,062.84 = 318.10 : x
  2. Step 2: Convert to fraction form
    708.37/1,062.84 = 318.10/x
  3. Step 3: Cross multiply
    708.37x = 1,062.84 × 318.10
  4. Step 4: Simplify right side
    708.37x = 338,087.94
  5. Step 5: Solve for x
    x = 338,087.94/708.37
  6. Step 6: Final answer
    x = 477.28

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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.