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Finding the Fourth Proportional to 708.80, 977.78 and 459.80

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Solution

The fourth proportional to 708.80, 977.78 and 459.80 is: 634.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.80 : 977.78 = 459.80 : x
  2. Step 2: Convert to fraction form
    708.80/977.78 = 459.80/x
  3. Step 3: Cross multiply
    708.80x = 977.78 × 459.80
  4. Step 4: Simplify right side
    708.80x = 449,583.24
  5. Step 5: Solve for x
    x = 449,583.24/708.80
  6. Step 6: Final answer
    x = 634.29

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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.