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Finding the Fourth Proportional to 523, 784.32 and 230.41

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Solution

The fourth proportional to 523, 784.32 and 230.41 is: 345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523 : 784.32 = 230.41 : x
  2. Step 2: Convert to fraction form
    523/784.32 = 230.41/x
  3. Step 3: Cross multiply
    523x = 784.32 × 230.41
  4. Step 4: Simplify right side
    523x = 180,715.17
  5. Step 5: Solve for x
    x = 180,715.17/523
  6. Step 6: Final answer
    x = 345.54

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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.