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Finding the Fourth Proportional to 523.74, 722.68 and 313.87

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Solution

The fourth proportional to 523.74, 722.68 and 313.87 is: 433.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.74 : 722.68 = 313.87 : x
  2. Step 2: Convert to fraction form
    523.74/722.68 = 313.87/x
  3. Step 3: Cross multiply
    523.74x = 722.68 × 313.87
  4. Step 4: Simplify right side
    523.74x = 226,825.39
  5. Step 5: Solve for x
    x = 226,825.39/523.74
  6. Step 6: Final answer
    x = 433.09

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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.