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Finding the Fourth Proportional to 708.09, 977 and 409.34

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Solution

The fourth proportional to 708.09, 977 and 409.34 is: 564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.09 : 977 = 409.34 : x
  2. Step 2: Convert to fraction form
    708.09/977 = 409.34/x
  3. Step 3: Cross multiply
    708.09x = 977 × 409.34
  4. Step 4: Simplify right side
    708.09x = 399,920.30
  5. Step 5: Solve for x
    x = 399,920.30/708.09
  6. Step 6: Final answer
    x = 564.79

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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.