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Finding the Fourth Proportional to 523.76, 722.78 and 313.96

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Solution

The fourth proportional to 523.76, 722.78 and 313.96 is: 433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.76 : 722.78 = 313.96 : x
  2. Step 2: Convert to fraction form
    523.76/722.78 = 313.96/x
  3. Step 3: Cross multiply
    523.76x = 722.78 × 313.96
  4. Step 4: Simplify right side
    523.76x = 226,924.01
  5. Step 5: Solve for x
    x = 226,924.01/523.76
  6. Step 6: Final answer
    x = 433.26

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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.