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Finding the Fourth Proportional to 312.30, 430.24 and 213.93

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Solution

The fourth proportional to 312.30, 430.24 and 213.93 is: 294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.30 : 430.24 = 213.93 : x
  2. Step 2: Convert to fraction form
    312.30/430.24 = 213.93/x
  3. Step 3: Cross multiply
    312.30x = 430.24 × 213.93
  4. Step 4: Simplify right side
    312.30x = 92,041.24
  5. Step 5: Solve for x
    x = 92,041.24/312.30
  6. Step 6: Final answer
    x = 294.72

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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.