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Finding the Fourth Proportional to 304.15, 455.86 and 180.58

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Solution

The fourth proportional to 304.15, 455.86 and 180.58 is: 270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.15 : 455.86 = 180.58 : x
  2. Step 2: Convert to fraction form
    304.15/455.86 = 180.58/x
  3. Step 3: Cross multiply
    304.15x = 455.86 × 180.58
  4. Step 4: Simplify right side
    304.15x = 82,319.20
  5. Step 5: Solve for x
    x = 82,319.20/304.15
  6. Step 6: Final answer
    x = 270.65

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Why These Related Problems?

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