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Finding the Fourth Proportional to 704.85, 972.81 and 442.68

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Solution

The fourth proportional to 704.85, 972.81 and 442.68 is: 610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.85 : 972.81 = 442.68 : x
  2. Step 2: Convert to fraction form
    704.85/972.81 = 442.68/x
  3. Step 3: Cross multiply
    704.85x = 972.81 × 442.68
  4. Step 4: Simplify right side
    704.85x = 430,643.53
  5. Step 5: Solve for x
    x = 430,643.53/704.85
  6. Step 6: Final answer
    x = 610.97

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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.