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Finding the Fourth Proportional to 350.87, 524.70 and 258.62

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Solution

The fourth proportional to 350.87, 524.70 and 258.62 is: 386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.87 : 524.70 = 258.62 : x
  2. Step 2: Convert to fraction form
    350.87/524.70 = 258.62/x
  3. Step 3: Cross multiply
    350.87x = 524.70 × 258.62
  4. Step 4: Simplify right side
    350.87x = 135,695.29
  5. Step 5: Solve for x
    x = 135,695.29/350.87
  6. Step 6: Final answer
    x = 386.75

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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.