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Finding the Fourth Proportional to 708.25, 977.23 and 428.42

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Solution

The fourth proportional to 708.25, 977.23 and 428.42 is: 591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.25 : 977.23 = 428.42 : x
  2. Step 2: Convert to fraction form
    708.25/977.23 = 428.42/x
  3. Step 3: Cross multiply
    708.25x = 977.23 × 428.42
  4. Step 4: Simplify right side
    708.25x = 418,664.88
  5. Step 5: Solve for x
    x = 418,664.88/708.25
  6. Step 6: Final answer
    x = 591.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.