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Finding the Fourth Proportional to 429.54, 644.22 and 314.05

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Solution

The fourth proportional to 429.54, 644.22 and 314.05 is: 471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.54 : 644.22 = 314.05 : x
  2. Step 2: Convert to fraction form
    429.54/644.22 = 314.05/x
  3. Step 3: Cross multiply
    429.54x = 644.22 × 314.05
  4. Step 4: Simplify right side
    429.54x = 202,317.29
  5. Step 5: Solve for x
    x = 202,317.29/429.54
  6. Step 6: Final answer
    x = 471.01

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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.