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Finding the Fourth Proportional to 304.43, 417.35 and 299.65

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Solution

The fourth proportional to 304.43, 417.35 and 299.65 is: 410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.43 : 417.35 = 299.65 : x
  2. Step 2: Convert to fraction form
    304.43/417.35 = 299.65/x
  3. Step 3: Cross multiply
    304.43x = 417.35 × 299.65
  4. Step 4: Simplify right side
    304.43x = 125,059.42
  5. Step 5: Solve for x
    x = 125,059.42/304.43
  6. Step 6: Final answer
    x = 410.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.