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Finding the Fourth Proportional to 471.67, 706.23 and 265.93

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Solution

The fourth proportional to 471.67, 706.23 and 265.93 is: 398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.67 : 706.23 = 265.93 : x
  2. Step 2: Convert to fraction form
    471.67/706.23 = 265.93/x
  3. Step 3: Cross multiply
    471.67x = 706.23 × 265.93
  4. Step 4: Simplify right side
    471.67x = 187,805.98
  5. Step 5: Solve for x
    x = 187,805.98/471.67
  6. Step 6: Final answer
    x = 398.17

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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.