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Finding the Fourth Proportional to 431.57, 646.05 and 422.30

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Solution

The fourth proportional to 431.57, 646.05 and 422.30 is: 632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.57 : 646.05 = 422.30 : x
  2. Step 2: Convert to fraction form
    431.57/646.05 = 422.30/x
  3. Step 3: Cross multiply
    431.57x = 646.05 × 422.30
  4. Step 4: Simplify right side
    431.57x = 272,826.92
  5. Step 5: Solve for x
    x = 272,826.92/431.57
  6. Step 6: Final answer
    x = 632.17

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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.