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Finding the Fourth Proportional to 920.02, 1,379.14 and 303.30

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Solution

The fourth proportional to 920.02, 1,379.14 and 303.30 is: 454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.02 : 1,379.14 = 303.30 : x
  2. Step 2: Convert to fraction form
    920.02/1,379.14 = 303.30/x
  3. Step 3: Cross multiply
    920.02x = 1,379.14 × 303.30
  4. Step 4: Simplify right side
    920.02x = 418,293.16
  5. Step 5: Solve for x
    x = 418,293.16/920.02
  6. Step 6: Final answer
    x = 454.66

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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.