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Finding the Fourth Proportional to 550.51, 758.90 and 419.29

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Solution

The fourth proportional to 550.51, 758.90 and 419.29 is: 578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.51 : 758.90 = 419.29 : x
  2. Step 2: Convert to fraction form
    550.51/758.90 = 419.29/x
  3. Step 3: Cross multiply
    550.51x = 758.90 × 419.29
  4. Step 4: Simplify right side
    550.51x = 318,199.18
  5. Step 5: Solve for x
    x = 318,199.18/550.51
  6. Step 6: Final answer
    x = 578.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.