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Finding the Fourth Proportional to 285.53, 425.76 and 261.23

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Solution

The fourth proportional to 285.53, 425.76 and 261.23 is: 389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.53 : 425.76 = 261.23 : x
  2. Step 2: Convert to fraction form
    285.53/425.76 = 261.23/x
  3. Step 3: Cross multiply
    285.53x = 425.76 × 261.23
  4. Step 4: Simplify right side
    285.53x = 111,218.18
  5. Step 5: Solve for x
    x = 111,218.18/285.53
  6. Step 6: Final answer
    x = 389.52

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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.