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Finding the Fourth Proportional to 621.62, 856.94 and 385.42

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Solution

The fourth proportional to 621.62, 856.94 and 385.42 is: 531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.62 : 856.94 = 385.42 : x
  2. Step 2: Convert to fraction form
    621.62/856.94 = 385.42/x
  3. Step 3: Cross multiply
    621.62x = 856.94 × 385.42
  4. Step 4: Simplify right side
    621.62x = 330,281.81
  5. Step 5: Solve for x
    x = 330,281.81/621.62
  6. Step 6: Final answer
    x = 531.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.