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Finding the Fourth Proportional to 518.24, 714.13 and 400.23

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Solution

The fourth proportional to 518.24, 714.13 and 400.23 is: 551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.24 : 714.13 = 400.23 : x
  2. Step 2: Convert to fraction form
    518.24/714.13 = 400.23/x
  3. Step 3: Cross multiply
    518.24x = 714.13 × 400.23
  4. Step 4: Simplify right side
    518.24x = 285,816.25
  5. Step 5: Solve for x
    x = 285,816.25/518.24
  6. Step 6: Final answer
    x = 551.51

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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.