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Finding the Fourth Proportional to 345.49, 475.94 and 275.49

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Solution

The fourth proportional to 345.49, 475.94 and 275.49 is: 379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.49 : 475.94 = 275.49 : x
  2. Step 2: Convert to fraction form
    345.49/475.94 = 275.49/x
  3. Step 3: Cross multiply
    345.49x = 475.94 × 275.49
  4. Step 4: Simplify right side
    345.49x = 131,116.71
  5. Step 5: Solve for x
    x = 131,116.71/345.49
  6. Step 6: Final answer
    x = 379.51

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