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Finding the Fourth Proportional to 631.60, 947.36 and 284.72

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Solution

The fourth proportional to 631.60, 947.36 and 284.72 is: 427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.60 : 947.36 = 284.72 : x
  2. Step 2: Convert to fraction form
    631.60/947.36 = 284.72/x
  3. Step 3: Cross multiply
    631.60x = 947.36 × 284.72
  4. Step 4: Simplify right side
    631.60x = 269,732.34
  5. Step 5: Solve for x
    x = 269,732.34/631.60
  6. Step 6: Final answer
    x = 427.06

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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.