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Finding the Fourth Proportional to 389.46, 584.12 and 242.98

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Solution

The fourth proportional to 389.46, 584.12 and 242.98 is: 364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.46 : 584.12 = 242.98 : x
  2. Step 2: Convert to fraction form
    389.46/584.12 = 242.98/x
  3. Step 3: Cross multiply
    389.46x = 584.12 × 242.98
  4. Step 4: Simplify right side
    389.46x = 141,929.48
  5. Step 5: Solve for x
    x = 141,929.48/389.46
  6. Step 6: Final answer
    x = 364.43

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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.