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Finding the Fourth Proportional to 631.54, 946.94 and 266.13

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Solution

The fourth proportional to 631.54, 946.94 and 266.13 is: 399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.54 : 946.94 = 266.13 : x
  2. Step 2: Convert to fraction form
    631.54/946.94 = 266.13/x
  3. Step 3: Cross multiply
    631.54x = 946.94 × 266.13
  4. Step 4: Simplify right side
    631.54x = 252,007.81
  5. Step 5: Solve for x
    x = 252,007.81/631.54
  6. Step 6: Final answer
    x = 399.04

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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.