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Finding the Fourth Proportional to 523.90, 722.93 and 314.07

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Solution

The fourth proportional to 523.90, 722.93 and 314.07 is: 433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.90 : 722.93 = 314.07 : x
  2. Step 2: Convert to fraction form
    523.90/722.93 = 314.07/x
  3. Step 3: Cross multiply
    523.90x = 722.93 × 314.07
  4. Step 4: Simplify right side
    523.90x = 227,049.84
  5. Step 5: Solve for x
    x = 227,049.84/523.90
  6. Step 6: Final answer
    x = 433.38

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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.