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Finding the Fourth Proportional to 631.44, 947.16 and 284.94

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Solution

The fourth proportional to 631.44, 947.16 and 284.94 is: 427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.44 : 947.16 = 284.94 : x
  2. Step 2: Convert to fraction form
    631.44/947.16 = 284.94/x
  3. Step 3: Cross multiply
    631.44x = 947.16 × 284.94
  4. Step 4: Simplify right side
    631.44x = 269,881.11
  5. Step 5: Solve for x
    x = 269,881.11/631.44
  6. Step 6: Final answer
    x = 427.41

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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.