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Finding the Fourth Proportional to 448.88, 619.52 and 274.32

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Solution

The fourth proportional to 448.88, 619.52 and 274.32 is: 378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.88 : 619.52 = 274.32 : x
  2. Step 2: Convert to fraction form
    448.88/619.52 = 274.32/x
  3. Step 3: Cross multiply
    448.88x = 619.52 × 274.32
  4. Step 4: Simplify right side
    448.88x = 169,945.35
  5. Step 5: Solve for x
    x = 169,945.35/448.88
  6. Step 6: Final answer
    x = 378.60

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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.