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Finding the Fourth Proportional to 304.92, 455.60 and 234.17

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Solution

The fourth proportional to 304.92, 455.60 and 234.17 is: 349.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.92 : 455.60 = 234.17 : x
  2. Step 2: Convert to fraction form
    304.92/455.60 = 234.17/x
  3. Step 3: Cross multiply
    304.92x = 455.60 × 234.17
  4. Step 4: Simplify right side
    304.92x = 106,689.77
  5. Step 5: Solve for x
    x = 106,689.77/304.92
  6. Step 6: Final answer
    x = 349.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.