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Finding the Fourth Proportional to 523.53, 722.39 and 313.83

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Solution

The fourth proportional to 523.53, 722.39 and 313.83 is: 433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.53 : 722.39 = 313.83 : x
  2. Step 2: Convert to fraction form
    523.53/722.39 = 313.83/x
  3. Step 3: Cross multiply
    523.53x = 722.39 × 313.83
  4. Step 4: Simplify right side
    523.53x = 226,706.08
  5. Step 5: Solve for x
    x = 226,706.08/523.53
  6. Step 6: Final answer
    x = 433.03

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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.