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Finding the Fourth Proportional to 431.58, 648.15 and 414.18

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Solution

The fourth proportional to 431.58, 648.15 and 414.18 is: 622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.58 : 648.15 = 414.18 : x
  2. Step 2: Convert to fraction form
    431.58/648.15 = 414.18/x
  3. Step 3: Cross multiply
    431.58x = 648.15 × 414.18
  4. Step 4: Simplify right side
    431.58x = 268,450.77
  5. Step 5: Solve for x
    x = 268,450.77/431.58
  6. Step 6: Final answer
    x = 622.02

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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.