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Finding the Fourth Proportional to 704.16, 1,056.24 and 314.06

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Solution

The fourth proportional to 704.16, 1,056.24 and 314.06 is: 471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.16 : 1,056.24 = 314.06 : x
  2. Step 2: Convert to fraction form
    704.16/1,056.24 = 314.06/x
  3. Step 3: Cross multiply
    704.16x = 1,056.24 × 314.06
  4. Step 4: Simplify right side
    704.16x = 331,722.73
  5. Step 5: Solve for x
    x = 331,722.73/704.16
  6. Step 6: Final answer
    x = 471.09

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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.