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Finding the Fourth Proportional to 471.49, 706.32 and 393.12

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Solution

The fourth proportional to 471.49, 706.32 and 393.12 is: 588.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.49 : 706.32 = 393.12 : x
  2. Step 2: Convert to fraction form
    471.49/706.32 = 393.12/x
  3. Step 3: Cross multiply
    471.49x = 706.32 × 393.12
  4. Step 4: Simplify right side
    471.49x = 277,668.52
  5. Step 5: Solve for x
    x = 277,668.52/471.49
  6. Step 6: Final answer
    x = 588.92

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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.