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Finding the Fourth Proportional to 631.13, 947.17 and 433.00

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Solution

The fourth proportional to 631.13, 947.17 and 433.00 is: 649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.13 : 947.17 = 433.00 : x
  2. Step 2: Convert to fraction form
    631.13/947.17 = 433.00/x
  3. Step 3: Cross multiply
    631.13x = 947.17 × 433.00
  4. Step 4: Simplify right side
    631.13x = 410,121.01
  5. Step 5: Solve for x
    x = 410,121.01/631.13
  6. Step 6: Final answer
    x = 649.83

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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.