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Finding the Fourth Proportional to 704.47, 971.71 and 442.03

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Solution

The fourth proportional to 704.47, 971.71 and 442.03 is: 609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.47 : 971.71 = 442.03 : x
  2. Step 2: Convert to fraction form
    704.47/971.71 = 442.03/x
  3. Step 3: Cross multiply
    704.47x = 971.71 × 442.03
  4. Step 4: Simplify right side
    704.47x = 429,524.97
  5. Step 5: Solve for x
    x = 429,524.97/704.47
  6. Step 6: Final answer
    x = 609.71

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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.