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Finding the Fourth Proportional to 677.30, 1,014.60 and 368.69

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Solution

The fourth proportional to 677.30, 1,014.60 and 368.69 is: 552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.30 : 1,014.60 = 368.69 : x
  2. Step 2: Convert to fraction form
    677.30/1,014.60 = 368.69/x
  3. Step 3: Cross multiply
    677.30x = 1,014.60 × 368.69
  4. Step 4: Simplify right side
    677.30x = 374,072.87
  5. Step 5: Solve for x
    x = 374,072.87/677.30
  6. Step 6: Final answer
    x = 552.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.