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Finding the Fourth Proportional to 442.20, 609.66 and 368.22

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Solution

The fourth proportional to 442.20, 609.66 and 368.22 is: 507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.20 : 609.66 = 368.22 : x
  2. Step 2: Convert to fraction form
    442.20/609.66 = 368.22/x
  3. Step 3: Cross multiply
    442.20x = 609.66 × 368.22
  4. Step 4: Simplify right side
    442.20x = 224,489.01
  5. Step 5: Solve for x
    x = 224,489.01/442.20
  6. Step 6: Final answer
    x = 507.66

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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.