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Finding the Fourth Proportional to 389.66, 583.61 and 285.71

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Solution

The fourth proportional to 389.66, 583.61 and 285.71 is: 427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.66 : 583.61 = 285.71 : x
  2. Step 2: Convert to fraction form
    389.66/583.61 = 285.71/x
  3. Step 3: Cross multiply
    389.66x = 583.61 × 285.71
  4. Step 4: Simplify right side
    389.66x = 166,738.87
  5. Step 5: Solve for x
    x = 166,738.87/389.66
  6. Step 6: Final answer
    x = 427.91

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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.