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Finding the Fourth Proportional to 312.04, 430.14 and 213.49

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Solution

The fourth proportional to 312.04, 430.14 and 213.49 is: 294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.04 : 430.14 = 213.49 : x
  2. Step 2: Convert to fraction form
    312.04/430.14 = 213.49/x
  3. Step 3: Cross multiply
    312.04x = 430.14 × 213.49
  4. Step 4: Simplify right side
    312.04x = 91,830.59
  5. Step 5: Solve for x
    x = 91,830.59/312.04
  6. Step 6: Final answer
    x = 294.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.