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Finding the Fourth Proportional to 312.10, 430.59 and 238.30

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Solution

The fourth proportional to 312.10, 430.59 and 238.30 is: 328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.10 : 430.59 = 238.30 : x
  2. Step 2: Convert to fraction form
    312.10/430.59 = 238.30/x
  3. Step 3: Cross multiply
    312.10x = 430.59 × 238.30
  4. Step 4: Simplify right side
    312.10x = 102,609.60
  5. Step 5: Solve for x
    x = 102,609.60/312.10
  6. Step 6: Final answer
    x = 328.77

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Why These Related Problems?

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