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Finding the Fourth Proportional to 933.16, 1,399.74 and 316.94

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Solution

The fourth proportional to 933.16, 1,399.74 and 316.94 is: 475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.16 : 1,399.74 = 316.94 : x
  2. Step 2: Convert to fraction form
    933.16/1,399.74 = 316.94/x
  3. Step 3: Cross multiply
    933.16x = 1,399.74 × 316.94
  4. Step 4: Simplify right side
    933.16x = 443,633.60
  5. Step 5: Solve for x
    x = 443,633.60/933.16
  6. Step 6: Final answer
    x = 475.41

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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.