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Finding the Fourth Proportional to 287.78, 428.38 and 284.67

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Solution

The fourth proportional to 287.78, 428.38 and 284.67 is: 423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.78 : 428.38 = 284.67 : x
  2. Step 2: Convert to fraction form
    287.78/428.38 = 284.67/x
  3. Step 3: Cross multiply
    287.78x = 428.38 × 284.67
  4. Step 4: Simplify right side
    287.78x = 121,946.22
  5. Step 5: Solve for x
    x = 121,946.22/287.78
  6. Step 6: Final answer
    x = 423.76

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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.