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Finding the Fourth Proportional to 471, 706.71 and 348.69

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Solution

The fourth proportional to 471, 706.71 and 348.69 is: 523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    471 : 706.71 = 348.69 : x
  2. Step 2: Convert to fraction form
    471/706.71 = 348.69/x
  3. Step 3: Cross multiply
    471x = 706.71 × 348.69
  4. Step 4: Simplify right side
    471x = 246,422.71
  5. Step 5: Solve for x
    x = 246,422.71/471
  6. Step 6: Final answer
    x = 523.19

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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.