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Finding the Fourth Proportional to 704.41, 971.68 and 442.38

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Solution

The fourth proportional to 704.41, 971.68 and 442.38 is: 610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.41 : 971.68 = 442.38 : x
  2. Step 2: Convert to fraction form
    704.41/971.68 = 442.38/x
  3. Step 3: Cross multiply
    704.41x = 971.68 × 442.38
  4. Step 4: Simplify right side
    704.41x = 429,851.80
  5. Step 5: Solve for x
    x = 429,851.80/704.41
  6. Step 6: Final answer
    x = 610.23

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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.