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Finding the Fourth Proportional to 419.04, 627.86 and 296.70

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Solution

The fourth proportional to 419.04, 627.86 and 296.70 is: 444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.04 : 627.86 = 296.70 : x
  2. Step 2: Convert to fraction form
    419.04/627.86 = 296.70/x
  3. Step 3: Cross multiply
    419.04x = 627.86 × 296.70
  4. Step 4: Simplify right side
    419.04x = 186,286.06
  5. Step 5: Solve for x
    x = 186,286.06/419.04
  6. Step 6: Final answer
    x = 444.55

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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.