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Finding the Fourth Proportional to 448.80, 618.48 and 419.04

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Solution

The fourth proportional to 448.80, 618.48 and 419.04 is: 577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.80 : 618.48 = 419.04 : x
  2. Step 2: Convert to fraction form
    448.80/618.48 = 419.04/x
  3. Step 3: Cross multiply
    448.80x = 618.48 × 419.04
  4. Step 4: Simplify right side
    448.80x = 259,167.86
  5. Step 5: Solve for x
    x = 259,167.86/448.80
  6. Step 6: Final answer
    x = 577.47

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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.