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Finding the Fourth Proportional to 446.24, 616.17 and 399.53

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Solution

The fourth proportional to 446.24, 616.17 and 399.53 is: 551.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.24 : 616.17 = 399.53 : x
  2. Step 2: Convert to fraction form
    446.24/616.17 = 399.53/x
  3. Step 3: Cross multiply
    446.24x = 616.17 × 399.53
  4. Step 4: Simplify right side
    446.24x = 246,178.40
  5. Step 5: Solve for x
    x = 246,178.40/446.24
  6. Step 6: Final answer
    x = 551.67

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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.