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Finding the Fourth Proportional to 631.81, 947.36 and 266.50

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Solution

The fourth proportional to 631.81, 947.36 and 266.50 is: 399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.81 : 947.36 = 266.50 : x
  2. Step 2: Convert to fraction form
    631.81/947.36 = 266.50/x
  3. Step 3: Cross multiply
    631.81x = 947.36 × 266.50
  4. Step 4: Simplify right side
    631.81x = 252,470.11
  5. Step 5: Solve for x
    x = 252,470.11/631.81
  6. Step 6: Final answer
    x = 399.60

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Why These Related Problems?

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