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Finding the Fourth Proportional to 303.68, 456.53 and 243.47

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Solution

The fourth proportional to 303.68, 456.53 and 243.47 is: 366.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.68 : 456.53 = 243.47 : x
  2. Step 2: Convert to fraction form
    303.68/456.53 = 243.47/x
  3. Step 3: Cross multiply
    303.68x = 456.53 × 243.47
  4. Step 4: Simplify right side
    303.68x = 111,151.36
  5. Step 5: Solve for x
    x = 111,151.36/303.68
  6. Step 6: Final answer
    x = 366.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.