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Finding the Fourth Proportional to 708.66, 977.94 and 414.09

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Solution

The fourth proportional to 708.66, 977.94 and 414.09 is: 571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.66 : 977.94 = 414.09 : x
  2. Step 2: Convert to fraction form
    708.66/977.94 = 414.09/x
  3. Step 3: Cross multiply
    708.66x = 977.94 × 414.09
  4. Step 4: Simplify right side
    708.66x = 404,955.17
  5. Step 5: Solve for x
    x = 404,955.17/708.66
  6. Step 6: Final answer
    x = 571.44

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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.