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Finding the Fourth Proportional to 303.23, 457.28 and 299.13

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Solution

The fourth proportional to 303.23, 457.28 and 299.13 is: 451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.23 : 457.28 = 299.13 : x
  2. Step 2: Convert to fraction form
    303.23/457.28 = 299.13/x
  3. Step 3: Cross multiply
    303.23x = 457.28 × 299.13
  4. Step 4: Simplify right side
    303.23x = 136,787.27
  5. Step 5: Solve for x
    x = 136,787.27/303.23
  6. Step 6: Final answer
    x = 451.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.