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Finding the Fourth Proportional to 431.96, 644.60 and 385.81

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Solution

The fourth proportional to 431.96, 644.60 and 385.81 is: 575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.96 : 644.60 = 385.81 : x
  2. Step 2: Convert to fraction form
    431.96/644.60 = 385.81/x
  3. Step 3: Cross multiply
    431.96x = 644.60 × 385.81
  4. Step 4: Simplify right side
    431.96x = 248,693.13
  5. Step 5: Solve for x
    x = 248,693.13/431.96
  6. Step 6: Final answer
    x = 575.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.