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Finding the Fourth Proportional to 431.58, 646.91 and 309.77

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Solution

The fourth proportional to 431.58, 646.91 and 309.77 is: 464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.58 : 646.91 = 309.77 : x
  2. Step 2: Convert to fraction form
    431.58/646.91 = 309.77/x
  3. Step 3: Cross multiply
    431.58x = 646.91 × 309.77
  4. Step 4: Simplify right side
    431.58x = 200,394.15
  5. Step 5: Solve for x
    x = 200,394.15/431.58
  6. Step 6: Final answer
    x = 464.33

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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.