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Finding the Fourth Proportional to 419.76, 627.05 and 411.66

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Solution

The fourth proportional to 419.76, 627.05 and 411.66 is: 614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.76 : 627.05 = 411.66 : x
  2. Step 2: Convert to fraction form
    419.76/627.05 = 411.66/x
  3. Step 3: Cross multiply
    419.76x = 627.05 × 411.66
  4. Step 4: Simplify right side
    419.76x = 258,129.34
  5. Step 5: Solve for x
    x = 258,129.34/419.76
  6. Step 6: Final answer
    x = 614.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.