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Finding the Fourth Proportional to 631.36, 946.20 and 284.62

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Solution

The fourth proportional to 631.36, 946.20 and 284.62 is: 426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.36 : 946.20 = 284.62 : x
  2. Step 2: Convert to fraction form
    631.36/946.20 = 284.62/x
  3. Step 3: Cross multiply
    631.36x = 946.20 × 284.62
  4. Step 4: Simplify right side
    631.36x = 269,307.44
  5. Step 5: Solve for x
    x = 269,307.44/631.36
  6. Step 6: Final answer
    x = 426.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.