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Finding the Fourth Proportional to 425.67, 585.33 and 381.14

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Solution

The fourth proportional to 425.67, 585.33 and 381.14 is: 524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.67 : 585.33 = 381.14 : x
  2. Step 2: Convert to fraction form
    425.67/585.33 = 381.14/x
  3. Step 3: Cross multiply
    425.67x = 585.33 × 381.14
  4. Step 4: Simplify right side
    425.67x = 223,089.75
  5. Step 5: Solve for x
    x = 223,089.75/425.67
  6. Step 6: Final answer
    x = 524.09

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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.