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Finding the Fourth Proportional to 933.72, 1,400.60 and 317.44

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Solution

The fourth proportional to 933.72, 1,400.60 and 317.44 is: 476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.72 : 1,400.60 = 317.44 : x
  2. Step 2: Convert to fraction form
    933.72/1,400.60 = 317.44/x
  3. Step 3: Cross multiply
    933.72x = 1,400.60 × 317.44
  4. Step 4: Simplify right side
    933.72x = 444,606.46
  5. Step 5: Solve for x
    x = 444,606.46/933.72
  6. Step 6: Final answer
    x = 476.17

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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.