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Finding the Fourth Proportional to 524.15, 723.42 and 399.62

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Solution

The fourth proportional to 524.15, 723.42 and 399.62 is: 551.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.15 : 723.42 = 399.62 : x
  2. Step 2: Convert to fraction form
    524.15/723.42 = 399.62/x
  3. Step 3: Cross multiply
    524.15x = 723.42 × 399.62
  4. Step 4: Simplify right side
    524.15x = 289,093.10
  5. Step 5: Solve for x
    x = 289,093.10/524.15
  6. Step 6: Final answer
    x = 551.55

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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.