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Finding the Fourth Proportional to 312.42, 431.30 and 242.32

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Solution

The fourth proportional to 312.42, 431.30 and 242.32 is: 334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.42 : 431.30 = 242.32 : x
  2. Step 2: Convert to fraction form
    312.42/431.30 = 242.32/x
  3. Step 3: Cross multiply
    312.42x = 431.30 × 242.32
  4. Step 4: Simplify right side
    312.42x = 104,512.62
  5. Step 5: Solve for x
    x = 104,512.62/312.42
  6. Step 6: Final answer
    x = 334.53

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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.