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Finding the Fourth Proportional to 448.60, 619.14 and 419.32

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Solution

The fourth proportional to 448.60, 619.14 and 419.32 is: 578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.60 : 619.14 = 419.32 : x
  2. Step 2: Convert to fraction form
    448.60/619.14 = 419.32/x
  3. Step 3: Cross multiply
    448.60x = 619.14 × 419.32
  4. Step 4: Simplify right side
    448.60x = 259,617.78
  5. Step 5: Solve for x
    x = 259,617.78/448.60
  6. Step 6: Final answer
    x = 578.73

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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.