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Finding the Fourth Proportional to 471.06, 706.77 and 265.86

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Solution

The fourth proportional to 471.06, 706.77 and 265.86 is: 398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.06 : 706.77 = 265.86 : x
  2. Step 2: Convert to fraction form
    471.06/706.77 = 265.86/x
  3. Step 3: Cross multiply
    471.06x = 706.77 × 265.86
  4. Step 4: Simplify right side
    471.06x = 187,901.87
  5. Step 5: Solve for x
    x = 187,901.87/471.06
  6. Step 6: Final answer
    x = 398.89

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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.