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Finding the Fourth Proportional to 337.37, 464.94 and 275.00

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Solution

The fourth proportional to 337.37, 464.94 and 275.00 is: 378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.37 : 464.94 = 275.00 : x
  2. Step 2: Convert to fraction form
    337.37/464.94 = 275.00/x
  3. Step 3: Cross multiply
    337.37x = 464.94 × 275.00
  4. Step 4: Simplify right side
    337.37x = 127,856.18
  5. Step 5: Solve for x
    x = 127,856.18/337.37
  6. Step 6: Final answer
    x = 378.98

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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.