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Finding the Fourth Proportional to 448.82, 619.58 and 301.55

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Solution

The fourth proportional to 448.82, 619.58 and 301.55 is: 416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.82 : 619.58 = 301.55 : x
  2. Step 2: Convert to fraction form
    448.82/619.58 = 301.55/x
  3. Step 3: Cross multiply
    448.82x = 619.58 × 301.55
  4. Step 4: Simplify right side
    448.82x = 186,834.35
  5. Step 5: Solve for x
    x = 186,834.35/448.82
  6. Step 6: Final answer
    x = 416.28

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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.