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Finding the Fourth Proportional to 523.68, 723.60 and 431.52

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Solution

The fourth proportional to 523.68, 723.60 and 431.52 is: 596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.68 : 723.60 = 431.52 : x
  2. Step 2: Convert to fraction form
    523.68/723.60 = 431.52/x
  3. Step 3: Cross multiply
    523.68x = 723.60 × 431.52
  4. Step 4: Simplify right side
    523.68x = 312,247.87
  5. Step 5: Solve for x
    x = 312,247.87/523.68
  6. Step 6: Final answer
    x = 596.26

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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.