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Finding the Fourth Proportional to 285.53, 425.66 and 261.83

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Solution

The fourth proportional to 285.53, 425.66 and 261.83 is: 390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.53 : 425.66 = 261.83 : x
  2. Step 2: Convert to fraction form
    285.53/425.66 = 261.83/x
  3. Step 3: Cross multiply
    285.53x = 425.66 × 261.83
  4. Step 4: Simplify right side
    285.53x = 111,450.31
  5. Step 5: Solve for x
    x = 111,450.31/285.53
  6. Step 6: Final answer
    x = 390.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.