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Finding the Fourth Proportional to 402.40, 604.48 and 350.56

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Solution

The fourth proportional to 402.40, 604.48 and 350.56 is: 526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.40 : 604.48 = 350.56 : x
  2. Step 2: Convert to fraction form
    402.40/604.48 = 350.56/x
  3. Step 3: Cross multiply
    402.40x = 604.48 × 350.56
  4. Step 4: Simplify right side
    402.40x = 211,906.51
  5. Step 5: Solve for x
    x = 211,906.51/402.40
  6. Step 6: Final answer
    x = 526.61

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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.