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Finding the Fourth Proportional to 685.00, 946.55 and 488.17

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Solution

The fourth proportional to 685.00, 946.55 and 488.17 is: 674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.00 : 946.55 = 488.17 : x
  2. Step 2: Convert to fraction form
    685.00/946.55 = 488.17/x
  3. Step 3: Cross multiply
    685.00x = 946.55 × 488.17
  4. Step 4: Simplify right side
    685.00x = 462,074.34
  5. Step 5: Solve for x
    x = 462,074.34/685.00
  6. Step 6: Final answer
    x = 674.56

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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.