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Finding the Fourth Proportional to 312.47, 430.68 and 214.06

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Solution

The fourth proportional to 312.47, 430.68 and 214.06 is: 295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.47 : 430.68 = 214.06 : x
  2. Step 2: Convert to fraction form
    312.47/430.68 = 214.06/x
  3. Step 3: Cross multiply
    312.47x = 430.68 × 214.06
  4. Step 4: Simplify right side
    312.47x = 92,191.36
  5. Step 5: Solve for x
    x = 92,191.36/312.47
  6. Step 6: Final answer
    x = 295.04

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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.