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Finding the Fourth Proportional to 336.15, 504.63 and 214.65

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Solution

The fourth proportional to 336.15, 504.63 and 214.65 is: 322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.15 : 504.63 = 214.65 : x
  2. Step 2: Convert to fraction form
    336.15/504.63 = 214.65/x
  3. Step 3: Cross multiply
    336.15x = 504.63 × 214.65
  4. Step 4: Simplify right side
    336.15x = 108,318.83
  5. Step 5: Solve for x
    x = 108,318.83/336.15
  6. Step 6: Final answer
    x = 322.23

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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.