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Finding the Fourth Proportional to 933.35, 1,399.14 and 316.62

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Solution

The fourth proportional to 933.35, 1,399.14 and 316.62 is: 474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.35 : 1,399.14 = 316.62 : x
  2. Step 2: Convert to fraction form
    933.35/1,399.14 = 316.62/x
  3. Step 3: Cross multiply
    933.35x = 1,399.14 × 316.62
  4. Step 4: Simplify right side
    933.35x = 442,995.71
  5. Step 5: Solve for x
    x = 442,995.71/933.35
  6. Step 6: Final answer
    x = 474.63

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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.