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Finding the Fourth Proportional to 419.83, 628.65 and 351.16

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Solution

The fourth proportional to 419.83, 628.65 and 351.16 is: 525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.83 : 628.65 = 351.16 : x
  2. Step 2: Convert to fraction form
    419.83/628.65 = 351.16/x
  3. Step 3: Cross multiply
    419.83x = 628.65 × 351.16
  4. Step 4: Simplify right side
    419.83x = 220,756.73
  5. Step 5: Solve for x
    x = 220,756.73/419.83
  6. Step 6: Final answer
    x = 525.82

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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.