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Finding the Fourth Proportional to 445.05, 669.02 and 442.89

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Solution

The fourth proportional to 445.05, 669.02 and 442.89 is: 665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.05 : 669.02 = 442.89 : x
  2. Step 2: Convert to fraction form
    445.05/669.02 = 442.89/x
  3. Step 3: Cross multiply
    445.05x = 669.02 × 442.89
  4. Step 4: Simplify right side
    445.05x = 296,300.05
  5. Step 5: Solve for x
    x = 296,300.05/445.05
  6. Step 6: Final answer
    x = 665.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.