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Finding the Fourth Proportional to 304.34, 419.96 and 206.10

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Solution

The fourth proportional to 304.34, 419.96 and 206.10 is: 284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.34 : 419.96 = 206.10 : x
  2. Step 2: Convert to fraction form
    304.34/419.96 = 206.10/x
  3. Step 3: Cross multiply
    304.34x = 419.96 × 206.10
  4. Step 4: Simplify right side
    304.34x = 86,553.76
  5. Step 5: Solve for x
    x = 86,553.76/304.34
  6. Step 6: Final answer
    x = 284.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.