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Finding the Fourth Proportional to 708.13, 977.31 and 442.84

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Solution

The fourth proportional to 708.13, 977.31 and 442.84 is: 611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.13 : 977.31 = 442.84 : x
  2. Step 2: Convert to fraction form
    708.13/977.31 = 442.84/x
  3. Step 3: Cross multiply
    708.13x = 977.31 × 442.84
  4. Step 4: Simplify right side
    708.13x = 432,791.96
  5. Step 5: Solve for x
    x = 432,791.96/708.13
  6. Step 6: Final answer
    x = 611.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.