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Finding the Fourth Proportional to 933.92, 1,401.06 and 317.65

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Solution

The fourth proportional to 933.92, 1,401.06 and 317.65 is: 476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.92 : 1,401.06 = 317.65 : x
  2. Step 2: Convert to fraction form
    933.92/1,401.06 = 317.65/x
  3. Step 3: Cross multiply
    933.92x = 1,401.06 × 317.65
  4. Step 4: Simplify right side
    933.92x = 445,046.71
  5. Step 5: Solve for x
    x = 445,046.71/933.92
  6. Step 6: Final answer
    x = 476.54

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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.