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Finding the Fourth Proportional to 350.10, 523.19 and 350.10

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Solution

The fourth proportional to 350.10, 523.19 and 350.10 is: 523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.10 : 523.19 = 350.10 : x
  2. Step 2: Convert to fraction form
    350.10/523.19 = 350.10/x
  3. Step 3: Cross multiply
    350.10x = 523.19 × 350.10
  4. Step 4: Simplify right side
    350.10x = 183,167.07
  5. Step 5: Solve for x
    x = 183,167.07/350.10
  6. Step 6: Final answer
    x = 523.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.