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Finding the Fourth Proportional to 350.30, 527.49 and 259.64

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Solution

The fourth proportional to 350.30, 527.49 and 259.64 is: 390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.30 : 527.49 = 259.64 : x
  2. Step 2: Convert to fraction form
    350.30/527.49 = 259.64/x
  3. Step 3: Cross multiply
    350.30x = 527.49 × 259.64
  4. Step 4: Simplify right side
    350.30x = 136,953.57
  5. Step 5: Solve for x
    x = 136,953.57/350.30
  6. Step 6: Final answer
    x = 390.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.