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Finding the Fourth Proportional to 448.77, 619.48 and 301.83

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Solution

The fourth proportional to 448.77, 619.48 and 301.83 is: 416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.77 : 619.48 = 301.83 : x
  2. Step 2: Convert to fraction form
    448.77/619.48 = 301.83/x
  3. Step 3: Cross multiply
    448.77x = 619.48 × 301.83
  4. Step 4: Simplify right side
    448.77x = 186,975.70
  5. Step 5: Solve for x
    x = 186,975.70/448.77
  6. Step 6: Final answer
    x = 416.64

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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.