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Finding the Fourth Proportional to 306.23, 456.66 and 303.53

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Solution

The fourth proportional to 306.23, 456.66 and 303.53 is: 452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.23 : 456.66 = 303.53 : x
  2. Step 2: Convert to fraction form
    306.23/456.66 = 303.53/x
  3. Step 3: Cross multiply
    306.23x = 456.66 × 303.53
  4. Step 4: Simplify right side
    306.23x = 138,607.73
  5. Step 5: Solve for x
    x = 138,607.73/306.23
  6. Step 6: Final answer
    x = 452.63

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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.