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Finding the Fourth Proportional to 431.64, 647.10 and 200.24

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Solution

The fourth proportional to 431.64, 647.10 and 200.24 is: 300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.64 : 647.10 = 200.24 : x
  2. Step 2: Convert to fraction form
    431.64/647.10 = 200.24/x
  3. Step 3: Cross multiply
    431.64x = 647.10 × 200.24
  4. Step 4: Simplify right side
    431.64x = 129,572.07
  5. Step 5: Solve for x
    x = 129,572.07/431.64
  6. Step 6: Final answer
    x = 300.19

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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.