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Finding the Fourth Proportional to 523.95, 784.30 and 289.09

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Solution

The fourth proportional to 523.95, 784.30 and 289.09 is: 432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.95 : 784.30 = 289.09 : x
  2. Step 2: Convert to fraction form
    523.95/784.30 = 289.09/x
  3. Step 3: Cross multiply
    523.95x = 784.30 × 289.09
  4. Step 4: Simplify right side
    523.95x = 226,733.29
  5. Step 5: Solve for x
    x = 226,733.29/523.95
  6. Step 6: Final answer
    x = 432.74

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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.