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Finding the Fourth Proportional to 429.84, 644.96 and 155.86

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Solution

The fourth proportional to 429.84, 644.96 and 155.86 is: 233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.84 : 644.96 = 155.86 : x
  2. Step 2: Convert to fraction form
    429.84/644.96 = 155.86/x
  3. Step 3: Cross multiply
    429.84x = 644.96 × 155.86
  4. Step 4: Simplify right side
    429.84x = 100,522.24
  5. Step 5: Solve for x
    x = 100,522.24/429.84
  6. Step 6: Final answer
    x = 233.86

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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.