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Finding the Fourth Proportional to 304.42, 456.08 and 207.76

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Solution

The fourth proportional to 304.42, 456.08 and 207.76 is: 311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.42 : 456.08 = 207.76 : x
  2. Step 2: Convert to fraction form
    304.42/456.08 = 207.76/x
  3. Step 3: Cross multiply
    304.42x = 456.08 × 207.76
  4. Step 4: Simplify right side
    304.42x = 94,753.70
  5. Step 5: Solve for x
    x = 94,753.70/304.42
  6. Step 6: Final answer
    x = 311.26

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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.