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Finding the Fourth Proportional to 431.44, 647.60 and 323.91

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Solution

The fourth proportional to 431.44, 647.60 and 323.91 is: 486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.44 : 647.60 = 323.91 : x
  2. Step 2: Convert to fraction form
    431.44/647.60 = 323.91/x
  3. Step 3: Cross multiply
    431.44x = 647.60 × 323.91
  4. Step 4: Simplify right side
    431.44x = 209,762.50
  5. Step 5: Solve for x
    x = 209,762.50/431.44
  6. Step 6: Final answer
    x = 486.19

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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.