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Finding the Fourth Proportional to 704.46, 971.88 and 442.62

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Solution

The fourth proportional to 704.46, 971.88 and 442.62 is: 610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.46 : 971.88 = 442.62 : x
  2. Step 2: Convert to fraction form
    704.46/971.88 = 442.62/x
  3. Step 3: Cross multiply
    704.46x = 971.88 × 442.62
  4. Step 4: Simplify right side
    704.46x = 430,173.53
  5. Step 5: Solve for x
    x = 430,173.53/704.46
  6. Step 6: Final answer
    x = 610.64

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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.