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Finding the Fourth Proportional to 674.94, 1,014.18 and 350.52

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Solution

The fourth proportional to 674.94, 1,014.18 and 350.52 is: 526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.94 : 1,014.18 = 350.52 : x
  2. Step 2: Convert to fraction form
    674.94/1,014.18 = 350.52/x
  3. Step 3: Cross multiply
    674.94x = 1,014.18 × 350.52
  4. Step 4: Simplify right side
    674.94x = 355,490.37
  5. Step 5: Solve for x
    x = 355,490.37/674.94
  6. Step 6: Final answer
    x = 526.70

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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.