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Finding the Fourth Proportional to 429.91, 645.14 and 155.98

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Solution

The fourth proportional to 429.91, 645.14 and 155.98 is: 234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.91 : 645.14 = 155.98 : x
  2. Step 2: Convert to fraction form
    429.91/645.14 = 155.98/x
  3. Step 3: Cross multiply
    429.91x = 645.14 × 155.98
  4. Step 4: Simplify right side
    429.91x = 100,625.71
  5. Step 5: Solve for x
    x = 100,625.71/429.91
  6. Step 6: Final answer
    x = 234.06

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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.