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Finding the Fourth Proportional to 523.34, 722.31 and 346.31

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Solution

The fourth proportional to 523.34, 722.31 and 346.31 is: 477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.34 : 722.31 = 346.31 : x
  2. Step 2: Convert to fraction form
    523.34/722.31 = 346.31/x
  3. Step 3: Cross multiply
    523.34x = 722.31 × 346.31
  4. Step 4: Simplify right side
    523.34x = 250,141.89
  5. Step 5: Solve for x
    x = 250,141.89/523.34
  6. Step 6: Final answer
    x = 477.97

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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.