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Finding the Fourth Proportional to 703.25, 1,054.95 and 240.90

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Solution

The fourth proportional to 703.25, 1,054.95 and 240.90 is: 361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.25 : 1,054.95 = 240.90 : x
  2. Step 2: Convert to fraction form
    703.25/1,054.95 = 240.90/x
  3. Step 3: Cross multiply
    703.25x = 1,054.95 × 240.90
  4. Step 4: Simplify right side
    703.25x = 254,137.46
  5. Step 5: Solve for x
    x = 254,137.46/703.25
  6. Step 6: Final answer
    x = 361.38

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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.