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Finding the Fourth Proportional to 353.87, 529.86 and 230.10

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Solution

The fourth proportional to 353.87, 529.86 and 230.10 is: 344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.87 : 529.86 = 230.10 : x
  2. Step 2: Convert to fraction form
    353.87/529.86 = 230.10/x
  3. Step 3: Cross multiply
    353.87x = 529.86 × 230.10
  4. Step 4: Simplify right side
    353.87x = 121,922.51
  5. Step 5: Solve for x
    x = 121,922.51/353.87
  6. Step 6: Final answer
    x = 344.54

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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.