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Finding the Fourth Proportional to 445.80, 665.43 and 384.24

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Solution

The fourth proportional to 445.80, 665.43 and 384.24 is: 573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.80 : 665.43 = 384.24 : x
  2. Step 2: Convert to fraction form
    445.80/665.43 = 384.24/x
  3. Step 3: Cross multiply
    445.80x = 665.43 × 384.24
  4. Step 4: Simplify right side
    445.80x = 255,684.82
  5. Step 5: Solve for x
    x = 255,684.82/445.80
  6. Step 6: Final answer
    x = 573.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.