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Finding the Fourth Proportional to 431.40, 647.28 and 344.64

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Solution

The fourth proportional to 431.40, 647.28 and 344.64 is: 517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.40 : 647.28 = 344.64 : x
  2. Step 2: Convert to fraction form
    431.40/647.28 = 344.64/x
  3. Step 3: Cross multiply
    431.40x = 647.28 × 344.64
  4. Step 4: Simplify right side
    431.40x = 223,078.58
  5. Step 5: Solve for x
    x = 223,078.58/431.40
  6. Step 6: Final answer
    x = 517.10

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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.