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Finding the Fourth Proportional to 523.96, 723.08 and 314.16

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Solution

The fourth proportional to 523.96, 723.08 and 314.16 is: 433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.96 : 723.08 = 314.16 : x
  2. Step 2: Convert to fraction form
    523.96/723.08 = 314.16/x
  3. Step 3: Cross multiply
    523.96x = 723.08 × 314.16
  4. Step 4: Simplify right side
    523.96x = 227,162.81
  5. Step 5: Solve for x
    x = 227,162.81/523.96
  6. Step 6: Final answer
    x = 433.55

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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.