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Finding the Fourth Proportional to 523.99, 723.17 and 337.41

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Solution

The fourth proportional to 523.99, 723.17 and 337.41 is: 465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.99 : 723.17 = 337.41 : x
  2. Step 2: Convert to fraction form
    523.99/723.17 = 337.41/x
  3. Step 3: Cross multiply
    523.99x = 723.17 × 337.41
  4. Step 4: Simplify right side
    523.99x = 244,005.63
  5. Step 5: Solve for x
    x = 244,005.63/523.99
  6. Step 6: Final answer
    x = 465.67

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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.