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Finding the Fourth Proportional to 419.91, 627.65 and 364.62

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Solution

The fourth proportional to 419.91, 627.65 and 364.62 is: 545.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.91 : 627.65 = 364.62 : x
  2. Step 2: Convert to fraction form
    419.91/627.65 = 364.62/x
  3. Step 3: Cross multiply
    419.91x = 627.65 × 364.62
  4. Step 4: Simplify right side
    419.91x = 228,851.92
  5. Step 5: Solve for x
    x = 228,851.92/419.91
  6. Step 6: Final answer
    x = 545.01

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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.