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Finding the Fourth Proportional to 350.48, 525.48 and 286.64

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Solution

The fourth proportional to 350.48, 525.48 and 286.64 is: 429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.48 : 525.48 = 286.64 : x
  2. Step 2: Convert to fraction form
    350.48/525.48 = 286.64/x
  3. Step 3: Cross multiply
    350.48x = 525.48 × 286.64
  4. Step 4: Simplify right side
    350.48x = 150,623.59
  5. Step 5: Solve for x
    x = 150,623.59/350.48
  6. Step 6: Final answer
    x = 429.76

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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.