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Finding the Fourth Proportional to 341.07, 512.19 and 290.31

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Solution

The fourth proportional to 341.07, 512.19 and 290.31 is: 435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.07 : 512.19 = 290.31 : x
  2. Step 2: Convert to fraction form
    341.07/512.19 = 290.31/x
  3. Step 3: Cross multiply
    341.07x = 512.19 × 290.31
  4. Step 4: Simplify right side
    341.07x = 148,693.88
  5. Step 5: Solve for x
    x = 148,693.88/341.07
  6. Step 6: Final answer
    x = 435.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.