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Finding the Fourth Proportional to 419.04, 623.60 and 403.68

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Solution

The fourth proportional to 419.04, 623.60 and 403.68 is: 600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.04 : 623.60 = 403.68 : x
  2. Step 2: Convert to fraction form
    419.04/623.60 = 403.68/x
  3. Step 3: Cross multiply
    419.04x = 623.60 × 403.68
  4. Step 4: Simplify right side
    419.04x = 251,734.85
  5. Step 5: Solve for x
    x = 251,734.85/419.04
  6. Step 6: Final answer
    x = 600.74

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Why These Related Problems?

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