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Finding the Fourth Proportional to 448.40, 671.83 and 293.78

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Solution

The fourth proportional to 448.40, 671.83 and 293.78 is: 440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.40 : 671.83 = 293.78 : x
  2. Step 2: Convert to fraction form
    448.40/671.83 = 293.78/x
  3. Step 3: Cross multiply
    448.40x = 671.83 × 293.78
  4. Step 4: Simplify right side
    448.40x = 197,371.16
  5. Step 5: Solve for x
    x = 197,371.16/448.40
  6. Step 6: Final answer
    x = 440.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.