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Finding the Fourth Proportional to 550.48, 758.94 and 457.60

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Solution

The fourth proportional to 550.48, 758.94 and 457.60 is: 630.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.48 : 758.94 = 457.60 : x
  2. Step 2: Convert to fraction form
    550.48/758.94 = 457.60/x
  3. Step 3: Cross multiply
    550.48x = 758.94 × 457.60
  4. Step 4: Simplify right side
    550.48x = 347,290.94
  5. Step 5: Solve for x
    x = 347,290.94/550.48
  6. Step 6: Final answer
    x = 630.89

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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.