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Finding the Fourth Proportional to 677.37, 933.80 and 444.09

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Solution

The fourth proportional to 677.37, 933.80 and 444.09 is: 612.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.37 : 933.80 = 444.09 : x
  2. Step 2: Convert to fraction form
    677.37/933.80 = 444.09/x
  3. Step 3: Cross multiply
    677.37x = 933.80 × 444.09
  4. Step 4: Simplify right side
    677.37x = 414,689.02
  5. Step 5: Solve for x
    x = 414,689.02/677.37
  6. Step 6: Final answer
    x = 612.20

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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.