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Finding the Fourth Proportional to 336.70, 505.23 and 215.02

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Solution

The fourth proportional to 336.70, 505.23 and 215.02 is: 322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.70 : 505.23 = 215.02 : x
  2. Step 2: Convert to fraction form
    336.70/505.23 = 215.02/x
  3. Step 3: Cross multiply
    336.70x = 505.23 × 215.02
  4. Step 4: Simplify right side
    336.70x = 108,634.55
  5. Step 5: Solve for x
    x = 108,634.55/336.70
  6. Step 6: Final answer
    x = 322.64

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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.