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Finding the Fourth Proportional to 524.74, 723.82 and 400.14

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Solution

The fourth proportional to 524.74, 723.82 and 400.14 is: 551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.74 : 723.82 = 400.14 : x
  2. Step 2: Convert to fraction form
    524.74/723.82 = 400.14/x
  3. Step 3: Cross multiply
    524.74x = 723.82 × 400.14
  4. Step 4: Simplify right side
    524.74x = 289,629.33
  5. Step 5: Solve for x
    x = 289,629.33/524.74
  6. Step 6: Final answer
    x = 551.95

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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.