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Finding the Fourth Proportional to 488.67, 674.96 and 423.99

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Solution

The fourth proportional to 488.67, 674.96 and 423.99 is: 585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.67 : 674.96 = 423.99 : x
  2. Step 2: Convert to fraction form
    488.67/674.96 = 423.99/x
  3. Step 3: Cross multiply
    488.67x = 674.96 × 423.99
  4. Step 4: Simplify right side
    488.67x = 286,174.17
  5. Step 5: Solve for x
    x = 286,174.17/488.67
  6. Step 6: Final answer
    x = 585.62

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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.