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Finding the Fourth Proportional to 920.64, 1,380.66 and 304.23

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Solution

The fourth proportional to 920.64, 1,380.66 and 304.23 is: 456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.64 : 1,380.66 = 304.23 : x
  2. Step 2: Convert to fraction form
    920.64/1,380.66 = 304.23/x
  3. Step 3: Cross multiply
    920.64x = 1,380.66 × 304.23
  4. Step 4: Simplify right side
    920.64x = 420,038.19
  5. Step 5: Solve for x
    x = 420,038.19/920.64
  6. Step 6: Final answer
    x = 456.25

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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.