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Finding the Fourth Proportional to 304.68, 454.44 and 287.52

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Solution

The fourth proportional to 304.68, 454.44 and 287.52 is: 428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.68 : 454.44 = 287.52 : x
  2. Step 2: Convert to fraction form
    304.68/454.44 = 287.52/x
  3. Step 3: Cross multiply
    304.68x = 454.44 × 287.52
  4. Step 4: Simplify right side
    304.68x = 130,660.59
  5. Step 5: Solve for x
    x = 130,660.59/304.68
  6. Step 6: Final answer
    x = 428.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.