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Finding the Fourth Proportional to 304.13, 456.28 and 174.29

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Solution

The fourth proportional to 304.13, 456.28 and 174.29 is: 261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.13 : 456.28 = 174.29 : x
  2. Step 2: Convert to fraction form
    304.13/456.28 = 174.29/x
  3. Step 3: Cross multiply
    304.13x = 456.28 × 174.29
  4. Step 4: Simplify right side
    304.13x = 79,522.32
  5. Step 5: Solve for x
    x = 79,522.32/304.13
  6. Step 6: Final answer
    x = 261.47

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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.