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Finding the Fourth Proportional to 420.09, 626.03 and 415.99

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Solution

The fourth proportional to 420.09, 626.03 and 415.99 is: 619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.09 : 626.03 = 415.99 : x
  2. Step 2: Convert to fraction form
    420.09/626.03 = 415.99/x
  3. Step 3: Cross multiply
    420.09x = 626.03 × 415.99
  4. Step 4: Simplify right side
    420.09x = 260,418.96
  5. Step 5: Solve for x
    x = 260,418.96/420.09
  6. Step 6: Final answer
    x = 619.92

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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.