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Finding the Fourth Proportional to 524.40, 723.76 and 399.86

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Solution

The fourth proportional to 524.40, 723.76 and 399.86 is: 551.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.40 : 723.76 = 399.86 : x
  2. Step 2: Convert to fraction form
    524.40/723.76 = 399.86/x
  3. Step 3: Cross multiply
    524.40x = 723.76 × 399.86
  4. Step 4: Simplify right side
    524.40x = 289,402.67
  5. Step 5: Solve for x
    x = 289,402.67/524.40
  6. Step 6: Final answer
    x = 551.87

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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.