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Finding the Fourth Proportional to 304.57, 457.03 and 128.86

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Solution

The fourth proportional to 304.57, 457.03 and 128.86 is: 193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.57 : 457.03 = 128.86 : x
  2. Step 2: Convert to fraction form
    304.57/457.03 = 128.86/x
  3. Step 3: Cross multiply
    304.57x = 457.03 × 128.86
  4. Step 4: Simplify right side
    304.57x = 58,890.32
  5. Step 5: Solve for x
    x = 58,890.32/304.57
  6. Step 6: Final answer
    x = 193.36

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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.