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Finding the Fourth Proportional to 384.53, 529.27 and 321.67

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Solution

The fourth proportional to 384.53, 529.27 and 321.67 is: 442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.53 : 529.27 = 321.67 : x
  2. Step 2: Convert to fraction form
    384.53/529.27 = 321.67/x
  3. Step 3: Cross multiply
    384.53x = 529.27 × 321.67
  4. Step 4: Simplify right side
    384.53x = 170,250.28
  5. Step 5: Solve for x
    x = 170,250.28/384.53
  6. Step 6: Final answer
    x = 442.75

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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.