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Finding the Fourth Proportional to 524.07, 784.96 and 250.09

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Solution

The fourth proportional to 524.07, 784.96 and 250.09 is: 374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.07 : 784.96 = 250.09 : x
  2. Step 2: Convert to fraction form
    524.07/784.96 = 250.09/x
  3. Step 3: Cross multiply
    524.07x = 784.96 × 250.09
  4. Step 4: Simplify right side
    524.07x = 196,308.06
  5. Step 5: Solve for x
    x = 196,308.06/524.07
  6. Step 6: Final answer
    x = 374.58

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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.