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Finding the Fourth Proportional to 704.67, 1,056.32 and 265.80

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Solution

The fourth proportional to 704.67, 1,056.32 and 265.80 is: 398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.67 : 1,056.32 = 265.80 : x
  2. Step 2: Convert to fraction form
    704.67/1,056.32 = 265.80/x
  3. Step 3: Cross multiply
    704.67x = 1,056.32 × 265.80
  4. Step 4: Simplify right side
    704.67x = 280,768.53
  5. Step 5: Solve for x
    x = 280,768.53/704.67
  6. Step 6: Final answer
    x = 398.44

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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.