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Finding the Fourth Proportional to 342.66, 511.40 and 306.18

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Solution

The fourth proportional to 342.66, 511.40 and 306.18 is: 456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.66 : 511.40 = 306.18 : x
  2. Step 2: Convert to fraction form
    342.66/511.40 = 306.18/x
  3. Step 3: Cross multiply
    342.66x = 511.40 × 306.18
  4. Step 4: Simplify right side
    342.66x = 156,578.92
  5. Step 5: Solve for x
    x = 156,578.92/342.66
  6. Step 6: Final answer
    x = 456.95

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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.