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Finding the Fourth Proportional to 471, 706.77 and 214.50

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Solution

The fourth proportional to 471, 706.77 and 214.50 is: 321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471 : 706.77 = 214.50 : x
  2. Step 2: Convert to fraction form
    471/706.77 = 214.50/x
  3. Step 3: Cross multiply
    471x = 706.77 × 214.50
  4. Step 4: Simplify right side
    471x = 151,602.17
  5. Step 5: Solve for x
    x = 151,602.17/471
  6. Step 6: Final answer
    x = 321.87

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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.