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Finding the Fourth Proportional to 431.72, 647.63 and 154.14

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Solution

The fourth proportional to 431.72, 647.63 and 154.14 is: 231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.72 : 647.63 = 154.14 : x
  2. Step 2: Convert to fraction form
    431.72/647.63 = 154.14/x
  3. Step 3: Cross multiply
    431.72x = 647.63 × 154.14
  4. Step 4: Simplify right side
    431.72x = 99,828.49
  5. Step 5: Solve for x
    x = 99,828.49/431.72
  6. Step 6: Final answer
    x = 231.23

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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.