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Finding the Fourth Proportional to 304.93, 454.84 and 297.73

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Solution

The fourth proportional to 304.93, 454.84 and 297.73 is: 444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.93 : 454.84 = 297.73 : x
  2. Step 2: Convert to fraction form
    304.93/454.84 = 297.73/x
  3. Step 3: Cross multiply
    304.93x = 454.84 × 297.73
  4. Step 4: Simplify right side
    304.93x = 135,419.51
  5. Step 5: Solve for x
    x = 135,419.51/304.93
  6. Step 6: Final answer
    x = 444.10

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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.