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Finding the Fourth Proportional to 304.71, 457.25 and 202.29

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Solution

The fourth proportional to 304.71, 457.25 and 202.29 is: 303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.71 : 457.25 = 202.29 : x
  2. Step 2: Convert to fraction form
    304.71/457.25 = 202.29/x
  3. Step 3: Cross multiply
    304.71x = 457.25 × 202.29
  4. Step 4: Simplify right side
    304.71x = 92,497.10
  5. Step 5: Solve for x
    x = 92,497.10/304.71
  6. Step 6: Final answer
    x = 303.56

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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.