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Finding the Fourth Proportional to 356.55, 491.76 and 306.84

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Solution

The fourth proportional to 356.55, 491.76 and 306.84 is: 423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.55 : 491.76 = 306.84 : x
  2. Step 2: Convert to fraction form
    356.55/491.76 = 306.84/x
  3. Step 3: Cross multiply
    356.55x = 491.76 × 306.84
  4. Step 4: Simplify right side
    356.55x = 150,891.78
  5. Step 5: Solve for x
    x = 150,891.78/356.55
  6. Step 6: Final answer
    x = 423.20

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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.