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Finding the Fourth Proportional to 448.60, 619.28 and 338.12

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Solution

The fourth proportional to 448.60, 619.28 and 338.12 is: 466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.60 : 619.28 = 338.12 : x
  2. Step 2: Convert to fraction form
    448.60/619.28 = 338.12/x
  3. Step 3: Cross multiply
    448.60x = 619.28 × 338.12
  4. Step 4: Simplify right side
    448.60x = 209,390.95
  5. Step 5: Solve for x
    x = 209,390.95/448.60
  6. Step 6: Final answer
    x = 466.77

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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.