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Finding the Fourth Proportional to 429.32, 644.12 and 256.12

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Solution

The fourth proportional to 429.32, 644.12 and 256.12 is: 384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.32 : 644.12 = 256.12 : x
  2. Step 2: Convert to fraction form
    429.32/644.12 = 256.12/x
  3. Step 3: Cross multiply
    429.32x = 644.12 × 256.12
  4. Step 4: Simplify right side
    429.32x = 164,972.01
  5. Step 5: Solve for x
    x = 164,972.01/429.32
  6. Step 6: Final answer
    x = 384.26

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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.