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Finding the Fourth Proportional to 648.08, 894.27 and 399.51

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Solution

The fourth proportional to 648.08, 894.27 and 399.51 is: 551.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.08 : 894.27 = 399.51 : x
  2. Step 2: Convert to fraction form
    648.08/894.27 = 399.51/x
  3. Step 3: Cross multiply
    648.08x = 894.27 × 399.51
  4. Step 4: Simplify right side
    648.08x = 357,269.81
  5. Step 5: Solve for x
    x = 357,269.81/648.08
  6. Step 6: Final answer
    x = 551.27

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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.