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Finding the Fourth Proportional to 523.80, 722.84 and 314

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Solution

The fourth proportional to 523.80, 722.84 and 314 is: 433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.80 : 722.84 = 314 : x
  2. Step 2: Convert to fraction form
    523.80/722.84 = 314/x
  3. Step 3: Cross multiply
    523.80x = 722.84 × 314
  4. Step 4: Simplify right side
    523.80x = 226,971.76
  5. Step 5: Solve for x
    x = 226,971.76/523.80
  6. Step 6: Final answer
    x = 433.32

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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.