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Finding the Fourth Proportional to 523.40, 722.25 and 313.54

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Solution

The fourth proportional to 523.40, 722.25 and 313.54 is: 432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.40 : 722.25 = 313.54 : x
  2. Step 2: Convert to fraction form
    523.40/722.25 = 313.54/x
  3. Step 3: Cross multiply
    523.40x = 722.25 × 313.54
  4. Step 4: Simplify right side
    523.40x = 226,452.46
  5. Step 5: Solve for x
    x = 226,452.46/523.40
  6. Step 6: Final answer
    x = 432.66

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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.