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Finding the Fourth Proportional to 419.13, 626.99 and 360.50

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Solution

The fourth proportional to 419.13, 626.99 and 360.50 is: 539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.13 : 626.99 = 360.50 : x
  2. Step 2: Convert to fraction form
    419.13/626.99 = 360.50/x
  3. Step 3: Cross multiply
    419.13x = 626.99 × 360.50
  4. Step 4: Simplify right side
    419.13x = 226,024.96
  5. Step 5: Solve for x
    x = 226,024.96/419.13
  6. Step 6: Final answer
    x = 539.27

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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.