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Finding the Fourth Proportional to 523.84, 723.08 and 314.08

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Solution

The fourth proportional to 523.84, 723.08 and 314.08 is: 433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.84 : 723.08 = 314.08 : x
  2. Step 2: Convert to fraction form
    523.84/723.08 = 314.08/x
  3. Step 3: Cross multiply
    523.84x = 723.08 × 314.08
  4. Step 4: Simplify right side
    523.84x = 227,104.97
  5. Step 5: Solve for x
    x = 227,104.97/523.84
  6. Step 6: Final answer
    x = 433.54

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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.