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Finding the Fourth Proportional to 429.54, 644.34 and 360.42

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Solution

The fourth proportional to 429.54, 644.34 and 360.42 is: 540.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.54 : 644.34 = 360.42 : x
  2. Step 2: Convert to fraction form
    429.54/644.34 = 360.42/x
  3. Step 3: Cross multiply
    429.54x = 644.34 × 360.42
  4. Step 4: Simplify right side
    429.54x = 232,233.02
  5. Step 5: Solve for x
    x = 232,233.02/429.54
  6. Step 6: Final answer
    x = 540.66

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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.