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Finding the Fourth Proportional to 523.94, 723.15 and 314.24

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Solution

The fourth proportional to 523.94, 723.15 and 314.24 is: 433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.94 : 723.15 = 314.24 : x
  2. Step 2: Convert to fraction form
    523.94/723.15 = 314.24/x
  3. Step 3: Cross multiply
    523.94x = 723.15 × 314.24
  4. Step 4: Simplify right side
    523.94x = 227,239.04
  5. Step 5: Solve for x
    x = 227,239.04/523.94
  6. Step 6: Final answer
    x = 433.72

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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.