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Finding the Fourth Proportional to 304.76, 456.00 and 202.30

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Solution

The fourth proportional to 304.76, 456.00 and 202.30 is: 302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.76 : 456.00 = 202.30 : x
  2. Step 2: Convert to fraction form
    304.76/456.00 = 202.30/x
  3. Step 3: Cross multiply
    304.76x = 456.00 × 202.30
  4. Step 4: Simplify right side
    304.76x = 92,246.90
  5. Step 5: Solve for x
    x = 92,246.90/304.76
  6. Step 6: Final answer
    x = 302.68

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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.