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Finding the Fourth Proportional to 884.89, 1,327.53 and 307.75

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Solution

The fourth proportional to 884.89, 1,327.53 and 307.75 is: 461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.89 : 1,327.53 = 307.75 : x
  2. Step 2: Convert to fraction form
    884.89/1,327.53 = 307.75/x
  3. Step 3: Cross multiply
    884.89x = 1,327.53 × 307.75
  4. Step 4: Simplify right side
    884.89x = 408,547.36
  5. Step 5: Solve for x
    x = 408,547.36/884.89
  6. Step 6: Final answer
    x = 461.69

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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.