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Finding the Fourth Proportional to 708.82, 977.81 and 429.06

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Solution

The fourth proportional to 708.82, 977.81 and 429.06 is: 591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.82 : 977.81 = 429.06 : x
  2. Step 2: Convert to fraction form
    708.82/977.81 = 429.06/x
  3. Step 3: Cross multiply
    708.82x = 977.81 × 429.06
  4. Step 4: Simplify right side
    708.82x = 419,540.68
  5. Step 5: Solve for x
    x = 419,540.68/708.82
  6. Step 6: Final answer
    x = 591.89

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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.