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Finding the Fourth Proportional to 485.74, 727.94 and 471.70

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Solution

The fourth proportional to 485.74, 727.94 and 471.70 is: 706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.74 : 727.94 = 471.70 : x
  2. Step 2: Convert to fraction form
    485.74/727.94 = 471.70/x
  3. Step 3: Cross multiply
    485.74x = 727.94 × 471.70
  4. Step 4: Simplify right side
    485.74x = 343,369.30
  5. Step 5: Solve for x
    x = 343,369.30/485.74
  6. Step 6: Final answer
    x = 706.90

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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.