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Finding the Fourth Proportional to 550.76, 759.78 and 403.16

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Solution

The fourth proportional to 550.76, 759.78 and 403.16 is: 556.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.76 : 759.78 = 403.16 : x
  2. Step 2: Convert to fraction form
    550.76/759.78 = 403.16/x
  3. Step 3: Cross multiply
    550.76x = 759.78 × 403.16
  4. Step 4: Simplify right side
    550.76x = 306,312.90
  5. Step 5: Solve for x
    x = 306,312.90/550.76
  6. Step 6: Final answer
    x = 556.16

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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.