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Finding the Fourth Proportional to 708.83, 977.91 and 428.96

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Solution

The fourth proportional to 708.83, 977.91 and 428.96 is: 591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.83 : 977.91 = 428.96 : x
  2. Step 2: Convert to fraction form
    708.83/977.91 = 428.96/x
  3. Step 3: Cross multiply
    708.83x = 977.91 × 428.96
  4. Step 4: Simplify right side
    708.83x = 419,489.57
  5. Step 5: Solve for x
    x = 419,489.57/708.83
  6. Step 6: Final answer
    x = 591.80

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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.