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Finding the Fourth Proportional to 933.91, 1,401.08 and 284.71

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Solution

The fourth proportional to 933.91, 1,401.08 and 284.71 is: 427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.91 : 1,401.08 = 284.71 : x
  2. Step 2: Convert to fraction form
    933.91/1,401.08 = 284.71/x
  3. Step 3: Cross multiply
    933.91x = 1,401.08 × 284.71
  4. Step 4: Simplify right side
    933.91x = 398,900.06
  5. Step 5: Solve for x
    x = 398,900.06/933.91
  6. Step 6: Final answer
    x = 427.13

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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.