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Finding the Fourth Proportional to 345.36, 515.31 and 306.18

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Solution

The fourth proportional to 345.36, 515.31 and 306.18 is: 456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.36 : 515.31 = 306.18 : x
  2. Step 2: Convert to fraction form
    345.36/515.31 = 306.18/x
  3. Step 3: Cross multiply
    345.36x = 515.31 × 306.18
  4. Step 4: Simplify right side
    345.36x = 157,778.19
  5. Step 5: Solve for x
    x = 157,778.19/345.36
  6. Step 6: Final answer
    x = 456.85

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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.