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Finding the Fourth Proportional to 631.42, 947.10 and 266.08

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Solution

The fourth proportional to 631.42, 947.10 and 266.08 is: 399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.42 : 947.10 = 266.08 : x
  2. Step 2: Convert to fraction form
    631.42/947.10 = 266.08/x
  3. Step 3: Cross multiply
    631.42x = 947.10 × 266.08
  4. Step 4: Simplify right side
    631.42x = 252,004.37
  5. Step 5: Solve for x
    x = 252,004.37/631.42
  6. Step 6: Final answer
    x = 399.11

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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.