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Finding the Fourth Proportional to 350.70, 525.60 and 213.60

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Solution

The fourth proportional to 350.70, 525.60 and 213.60 is: 320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.70 : 525.60 = 213.60 : x
  2. Step 2: Convert to fraction form
    350.70/525.60 = 213.60/x
  3. Step 3: Cross multiply
    350.70x = 525.60 × 213.60
  4. Step 4: Simplify right side
    350.70x = 112,268.16
  5. Step 5: Solve for x
    x = 112,268.16/350.70
  6. Step 6: Final answer
    x = 320.13

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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.