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Finding the Fourth Proportional to 336.16, 504.24 and 214.30

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Solution

The fourth proportional to 336.16, 504.24 and 214.30 is: 321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.16 : 504.24 = 214.30 : x
  2. Step 2: Convert to fraction form
    336.16/504.24 = 214.30/x
  3. Step 3: Cross multiply
    336.16x = 504.24 × 214.30
  4. Step 4: Simplify right side
    336.16x = 108,058.63
  5. Step 5: Solve for x
    x = 108,058.63/336.16
  6. Step 6: Final answer
    x = 321.45

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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.