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Finding the Fourth Proportional to 304.01, 419.24 and 292.16

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Solution

The fourth proportional to 304.01, 419.24 and 292.16 is: 402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.01 : 419.24 = 292.16 : x
  2. Step 2: Convert to fraction form
    304.01/419.24 = 292.16/x
  3. Step 3: Cross multiply
    304.01x = 419.24 × 292.16
  4. Step 4: Simplify right side
    304.01x = 122,481.60
  5. Step 5: Solve for x
    x = 122,481.60/304.01
  6. Step 6: Final answer
    x = 402.89

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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.