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Finding the Fourth Proportional to 448.93, 619.73 and 293.41

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Solution

The fourth proportional to 448.93, 619.73 and 293.41 is: 405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.93 : 619.73 = 293.41 : x
  2. Step 2: Convert to fraction form
    448.93/619.73 = 293.41/x
  3. Step 3: Cross multiply
    448.93x = 619.73 × 293.41
  4. Step 4: Simplify right side
    448.93x = 181,834.98
  5. Step 5: Solve for x
    x = 181,834.98/448.93
  6. Step 6: Final answer
    x = 405.04

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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.