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Finding the Fourth Proportional to 619.22, 854.64 and 353.68

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Solution

The fourth proportional to 619.22, 854.64 and 353.68 is: 488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.22 : 854.64 = 353.68 : x
  2. Step 2: Convert to fraction form
    619.22/854.64 = 353.68/x
  3. Step 3: Cross multiply
    619.22x = 854.64 × 353.68
  4. Step 4: Simplify right side
    619.22x = 302,263.03
  5. Step 5: Solve for x
    x = 302,263.03/619.22
  6. Step 6: Final answer
    x = 488.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.