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Finding the Fourth Proportional to 442.69, 660.60 and 384.37

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Solution

The fourth proportional to 442.69, 660.60 and 384.37 is: 573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.69 : 660.60 = 384.37 : x
  2. Step 2: Convert to fraction form
    442.69/660.60 = 384.37/x
  3. Step 3: Cross multiply
    442.69x = 660.60 × 384.37
  4. Step 4: Simplify right side
    442.69x = 253,913.17
  5. Step 5: Solve for x
    x = 253,913.17/442.69
  6. Step 6: Final answer
    x = 573.57

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Why These Related Problems?

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