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Finding the Fourth Proportional to 304.07, 420.04 and 292.83

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Solution

The fourth proportional to 304.07, 420.04 and 292.83 is: 404.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.07 : 420.04 = 292.83 : x
  2. Step 2: Convert to fraction form
    304.07/420.04 = 292.83/x
  3. Step 3: Cross multiply
    304.07x = 420.04 × 292.83
  4. Step 4: Simplify right side
    304.07x = 123,002.25
  5. Step 5: Solve for x
    x = 123,002.25/304.07
  6. Step 6: Final answer
    x = 404.52

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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.