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Finding the Fourth Proportional to 353.44, 488.46 and 312.94

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Solution

The fourth proportional to 353.44, 488.46 and 312.94 is: 432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.44 : 488.46 = 312.94 : x
  2. Step 2: Convert to fraction form
    353.44/488.46 = 312.94/x
  3. Step 3: Cross multiply
    353.44x = 488.46 × 312.94
  4. Step 4: Simplify right side
    353.44x = 152,858.67
  5. Step 5: Solve for x
    x = 152,858.67/353.44
  6. Step 6: Final answer
    x = 432.49

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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.