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Finding the Fourth Proportional to 704.44, 1,056.90 and 314.71

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Solution

The fourth proportional to 704.44, 1,056.90 and 314.71 is: 472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.44 : 1,056.90 = 314.71 : x
  2. Step 2: Convert to fraction form
    704.44/1,056.90 = 314.71/x
  3. Step 3: Cross multiply
    704.44x = 1,056.90 × 314.71
  4. Step 4: Simplify right side
    704.44x = 332,615.54
  5. Step 5: Solve for x
    x = 332,615.54/704.44
  6. Step 6: Final answer
    x = 472.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.