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Finding the Fourth Proportional to 350.60, 525.29 and 259.47

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Solution

The fourth proportional to 350.60, 525.29 and 259.47 is: 388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.60 : 525.29 = 259.47 : x
  2. Step 2: Convert to fraction form
    350.60/525.29 = 259.47/x
  3. Step 3: Cross multiply
    350.60x = 525.29 × 259.47
  4. Step 4: Simplify right side
    350.60x = 136,295.70
  5. Step 5: Solve for x
    x = 136,295.70/350.60
  6. Step 6: Final answer
    x = 388.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.