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Finding the Fourth Proportional to 550.96, 759.98 and 477.14

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Solution

The fourth proportional to 550.96, 759.98 and 477.14 is: 658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.96 : 759.98 = 477.14 : x
  2. Step 2: Convert to fraction form
    550.96/759.98 = 477.14/x
  3. Step 3: Cross multiply
    550.96x = 759.98 × 477.14
  4. Step 4: Simplify right side
    550.96x = 362,619.95
  5. Step 5: Solve for x
    x = 362,619.95/550.96
  6. Step 6: Final answer
    x = 658.16

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Why These Related Problems?

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