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Finding the Fourth Proportional to 523.89, 723.03 and 344.59

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Solution

The fourth proportional to 523.89, 723.03 and 344.59 is: 475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.89 : 723.03 = 344.59 : x
  2. Step 2: Convert to fraction form
    523.89/723.03 = 344.59/x
  3. Step 3: Cross multiply
    523.89x = 723.03 × 344.59
  4. Step 4: Simplify right side
    523.89x = 249,148.91
  5. Step 5: Solve for x
    x = 249,148.91/523.89
  6. Step 6: Final answer
    x = 475.57

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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.