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Finding the Fourth Proportional to 301.24, 448.62 and 293.48

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Solution

The fourth proportional to 301.24, 448.62 and 293.48 is: 437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.24 : 448.62 = 293.48 : x
  2. Step 2: Convert to fraction form
    301.24/448.62 = 293.48/x
  3. Step 3: Cross multiply
    301.24x = 448.62 × 293.48
  4. Step 4: Simplify right side
    301.24x = 131,661.00
  5. Step 5: Solve for x
    x = 131,661.00/301.24
  6. Step 6: Final answer
    x = 437.06

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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.