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Finding the Fourth Proportional to 345.30, 515.52 and 290.61

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Solution

The fourth proportional to 345.30, 515.52 and 290.61 is: 433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.30 : 515.52 = 290.61 : x
  2. Step 2: Convert to fraction form
    345.30/515.52 = 290.61/x
  3. Step 3: Cross multiply
    345.30x = 515.52 × 290.61
  4. Step 4: Simplify right side
    345.30x = 149,815.27
  5. Step 5: Solve for x
    x = 149,815.27/345.30
  6. Step 6: Final answer
    x = 433.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.