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Finding the Fourth Proportional to 431.91, 646.71 and 295.22

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Solution

The fourth proportional to 431.91, 646.71 and 295.22 is: 442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.91 : 646.71 = 295.22 : x
  2. Step 2: Convert to fraction form
    431.91/646.71 = 295.22/x
  3. Step 3: Cross multiply
    431.91x = 646.71 × 295.22
  4. Step 4: Simplify right side
    431.91x = 190,921.73
  5. Step 5: Solve for x
    x = 190,921.73/431.91
  6. Step 6: Final answer
    x = 442.04

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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.