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Finding the Fourth Proportional to 523.59, 722.48 and 313.72

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Solution

The fourth proportional to 523.59, 722.48 and 313.72 is: 432.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.59 : 722.48 = 313.72 : x
  2. Step 2: Convert to fraction form
    523.59/722.48 = 313.72/x
  3. Step 3: Cross multiply
    523.59x = 722.48 × 313.72
  4. Step 4: Simplify right side
    523.59x = 226,651.24
  5. Step 5: Solve for x
    x = 226,651.24/523.59
  6. Step 6: Final answer
    x = 432.88

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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.