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Finding the Fourth Proportional to 648.42, 894.83 and 399.62

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Solution

The fourth proportional to 648.42, 894.83 and 399.62 is: 551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.42 : 894.83 = 399.62 : x
  2. Step 2: Convert to fraction form
    648.42/894.83 = 399.62/x
  3. Step 3: Cross multiply
    648.42x = 894.83 × 399.62
  4. Step 4: Simplify right side
    648.42x = 357,585.49
  5. Step 5: Solve for x
    x = 357,585.49/648.42
  6. Step 6: Final answer
    x = 551.47

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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.