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Finding the Fourth Proportional to 384.72, 580.02 and 321.36

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Solution

The fourth proportional to 384.72, 580.02 and 321.36 is: 484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.72 : 580.02 = 321.36 : x
  2. Step 2: Convert to fraction form
    384.72/580.02 = 321.36/x
  3. Step 3: Cross multiply
    384.72x = 580.02 × 321.36
  4. Step 4: Simplify right side
    384.72x = 186,395.23
  5. Step 5: Solve for x
    x = 186,395.23/384.72
  6. Step 6: Final answer
    x = 484.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.