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Finding the Fourth Proportional to 431.02, 646.08 and 309.83

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Solution

The fourth proportional to 431.02, 646.08 and 309.83 is: 464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.02 : 646.08 = 309.83 : x
  2. Step 2: Convert to fraction form
    431.02/646.08 = 309.83/x
  3. Step 3: Cross multiply
    431.02x = 646.08 × 309.83
  4. Step 4: Simplify right side
    431.02x = 200,170.57
  5. Step 5: Solve for x
    x = 200,170.57/431.02
  6. Step 6: Final answer
    x = 464.41

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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.