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Finding the Fourth Proportional to 708.57, 977.84 and 428.84

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Solution

The fourth proportional to 708.57, 977.84 and 428.84 is: 591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.57 : 977.84 = 428.84 : x
  2. Step 2: Convert to fraction form
    708.57/977.84 = 428.84/x
  3. Step 3: Cross multiply
    708.57x = 977.84 × 428.84
  4. Step 4: Simplify right side
    708.57x = 419,336.91
  5. Step 5: Solve for x
    x = 419,336.91/708.57
  6. Step 6: Final answer
    x = 591.81

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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.