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Finding the Fourth Proportional to 345.92, 476.94 and 290.54

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Solution

The fourth proportional to 345.92, 476.94 and 290.54 is: 400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.92 : 476.94 = 290.54 : x
  2. Step 2: Convert to fraction form
    345.92/476.94 = 290.54/x
  3. Step 3: Cross multiply
    345.92x = 476.94 × 290.54
  4. Step 4: Simplify right side
    345.92x = 138,568.11
  5. Step 5: Solve for x
    x = 138,568.11/345.92
  6. Step 6: Final answer
    x = 400.58

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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.