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Finding the Fourth Proportional to 434.87, 651.22 and 272.06

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Solution

The fourth proportional to 434.87, 651.22 and 272.06 is: 407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.87 : 651.22 = 272.06 : x
  2. Step 2: Convert to fraction form
    434.87/651.22 = 272.06/x
  3. Step 3: Cross multiply
    434.87x = 651.22 × 272.06
  4. Step 4: Simplify right side
    434.87x = 177,170.91
  5. Step 5: Solve for x
    x = 177,170.91/434.87
  6. Step 6: Final answer
    x = 407.41

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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.