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Finding the Fourth Proportional to 523.32, 784.74 and 306.96

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Solution

The fourth proportional to 523.32, 784.74 and 306.96 is: 460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.32 : 784.74 = 306.96 : x
  2. Step 2: Convert to fraction form
    523.32/784.74 = 306.96/x
  3. Step 3: Cross multiply
    523.32x = 784.74 × 306.96
  4. Step 4: Simplify right side
    523.32x = 240,883.79
  5. Step 5: Solve for x
    x = 240,883.79/523.32
  6. Step 6: Final answer
    x = 460.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.