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Finding the Fourth Proportional to 384.78, 529.62 and 321.93

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Solution

The fourth proportional to 384.78, 529.62 and 321.93 is: 443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.78 : 529.62 = 321.93 : x
  2. Step 2: Convert to fraction form
    384.78/529.62 = 321.93/x
  3. Step 3: Cross multiply
    384.78x = 529.62 × 321.93
  4. Step 4: Simplify right side
    384.78x = 170,500.57
  5. Step 5: Solve for x
    x = 170,500.57/384.78
  6. Step 6: Final answer
    x = 443.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.