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Finding the Fourth Proportional to 550.10, 758.76 and 340.10

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Solution

The fourth proportional to 550.10, 758.76 and 340.10 is: 469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.10 : 758.76 = 340.10 : x
  2. Step 2: Convert to fraction form
    550.10/758.76 = 340.10/x
  3. Step 3: Cross multiply
    550.10x = 758.76 × 340.10
  4. Step 4: Simplify right side
    550.10x = 258,054.28
  5. Step 5: Solve for x
    x = 258,054.28/550.10
  6. Step 6: Final answer
    x = 469.10

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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.