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Finding the Fourth Proportional to 431.85, 646.17 and 258.61

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Solution

The fourth proportional to 431.85, 646.17 and 258.61 is: 386.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.85 : 646.17 = 258.61 : x
  2. Step 2: Convert to fraction form
    431.85/646.17 = 258.61/x
  3. Step 3: Cross multiply
    431.85x = 646.17 × 258.61
  4. Step 4: Simplify right side
    431.85x = 167,106.02
  5. Step 5: Solve for x
    x = 167,106.02/431.85
  6. Step 6: Final answer
    x = 386.95

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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.