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Finding the Fourth Proportional to 708.29, 977.53 and 428.54

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Solution

The fourth proportional to 708.29, 977.53 and 428.54 is: 591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.29 : 977.53 = 428.54 : x
  2. Step 2: Convert to fraction form
    708.29/977.53 = 428.54/x
  3. Step 3: Cross multiply
    708.29x = 977.53 × 428.54
  4. Step 4: Simplify right side
    708.29x = 418,906.35
  5. Step 5: Solve for x
    x = 418,906.35/708.29
  6. Step 6: Final answer
    x = 591.43

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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.