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Finding the Fourth Proportional to 389.15, 583.31 and 242.67

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Solution

The fourth proportional to 389.15, 583.31 and 242.67 is: 363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.15 : 583.31 = 242.67 : x
  2. Step 2: Convert to fraction form
    389.15/583.31 = 242.67/x
  3. Step 3: Cross multiply
    389.15x = 583.31 × 242.67
  4. Step 4: Simplify right side
    389.15x = 141,552.44
  5. Step 5: Solve for x
    x = 141,552.44/389.15
  6. Step 6: Final answer
    x = 363.75

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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.