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Finding the Fourth Proportional to 648.62, 894.99 and 399.98

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Solution

The fourth proportional to 648.62, 894.99 and 399.98 is: 551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.62 : 894.99 = 399.98 : x
  2. Step 2: Convert to fraction form
    648.62/894.99 = 399.98/x
  3. Step 3: Cross multiply
    648.62x = 894.99 × 399.98
  4. Step 4: Simplify right side
    648.62x = 357,978.10
  5. Step 5: Solve for x
    x = 357,978.10/648.62
  6. Step 6: Final answer
    x = 551.91

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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.