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Finding the Fourth Proportional to 336.70, 504.10 and 214.66

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Solution

The fourth proportional to 336.70, 504.10 and 214.66 is: 321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.70 : 504.10 = 214.66 : x
  2. Step 2: Convert to fraction form
    336.70/504.10 = 214.66/x
  3. Step 3: Cross multiply
    336.70x = 504.10 × 214.66
  4. Step 4: Simplify right side
    336.70x = 108,210.11
  5. Step 5: Solve for x
    x = 108,210.11/336.70
  6. Step 6: Final answer
    x = 321.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.