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Finding the Fourth Proportional to 933.18, 1,399.55 and 274.88

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Solution

The fourth proportional to 933.18, 1,399.55 and 274.88 is: 412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.18 : 1,399.55 = 274.88 : x
  2. Step 2: Convert to fraction form
    933.18/1,399.55 = 274.88/x
  3. Step 3: Cross multiply
    933.18x = 1,399.55 × 274.88
  4. Step 4: Simplify right side
    933.18x = 384,702.56
  5. Step 5: Solve for x
    x = 384,702.56/933.18
  6. Step 6: Final answer
    x = 412.25

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Why These Related Problems?

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