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Finding the Fourth Proportional to 443.78, 665.40 and 289.52

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Solution

The fourth proportional to 443.78, 665.40 and 289.52 is: 434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.78 : 665.40 = 289.52 : x
  2. Step 2: Convert to fraction form
    443.78/665.40 = 289.52/x
  3. Step 3: Cross multiply
    443.78x = 665.40 × 289.52
  4. Step 4: Simplify right side
    443.78x = 192,646.61
  5. Step 5: Solve for x
    x = 192,646.61/443.78
  6. Step 6: Final answer
    x = 434.10

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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.