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Finding the Fourth Proportional to 448.13, 670.68 and 419.38

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Solution

The fourth proportional to 448.13, 670.68 and 419.38 is: 627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.13 : 670.68 = 419.38 : x
  2. Step 2: Convert to fraction form
    448.13/670.68 = 419.38/x
  3. Step 3: Cross multiply
    448.13x = 670.68 × 419.38
  4. Step 4: Simplify right side
    448.13x = 281,268.10
  5. Step 5: Solve for x
    x = 281,268.10/448.13
  6. Step 6: Final answer
    x = 627.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.