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Finding the Fourth Proportional to 448.78, 619.59 and 355.90

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Solution

The fourth proportional to 448.78, 619.59 and 355.90 is: 491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.78 : 619.59 = 355.90 : x
  2. Step 2: Convert to fraction form
    448.78/619.59 = 355.90/x
  3. Step 3: Cross multiply
    448.78x = 619.59 × 355.90
  4. Step 4: Simplify right side
    448.78x = 220,512.08
  5. Step 5: Solve for x
    x = 220,512.08/448.78
  6. Step 6: Final answer
    x = 491.36

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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.