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Finding the Fourth Proportional to 304.87, 457.35 and 96.57

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Solution

The fourth proportional to 304.87, 457.35 and 96.57 is: 144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.87 : 457.35 = 96.57 : x
  2. Step 2: Convert to fraction form
    304.87/457.35 = 96.57/x
  3. Step 3: Cross multiply
    304.87x = 457.35 × 96.57
  4. Step 4: Simplify right side
    304.87x = 44,163.52
  5. Step 5: Solve for x
    x = 44,163.52/304.87
  6. Step 6: Final answer
    x = 144.86

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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.