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Finding the Fourth Proportional to 304.51, 419.61 and 234.58

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Solution

The fourth proportional to 304.51, 419.61 and 234.58 is: 323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.51 : 419.61 = 234.58 : x
  2. Step 2: Convert to fraction form
    304.51/419.61 = 234.58/x
  3. Step 3: Cross multiply
    304.51x = 419.61 × 234.58
  4. Step 4: Simplify right side
    304.51x = 98,432.11
  5. Step 5: Solve for x
    x = 98,432.11/304.51
  6. Step 6: Final answer
    x = 323.25

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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.