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Finding the Fourth Proportional to 523.85, 723.06 and 314.03

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Solution

The fourth proportional to 523.85, 723.06 and 314.03 is: 433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.85 : 723.06 = 314.03 : x
  2. Step 2: Convert to fraction form
    523.85/723.06 = 314.03/x
  3. Step 3: Cross multiply
    523.85x = 723.06 × 314.03
  4. Step 4: Simplify right side
    523.85x = 227,064.34
  5. Step 5: Solve for x
    x = 227,064.34/523.85
  6. Step 6: Final answer
    x = 433.46

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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.