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Finding the Fourth Proportional to 704.28, 971.66 and 424.60

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Solution

The fourth proportional to 704.28, 971.66 and 424.60 is: 585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.28 : 971.66 = 424.60 : x
  2. Step 2: Convert to fraction form
    704.28/971.66 = 424.60/x
  3. Step 3: Cross multiply
    704.28x = 971.66 × 424.60
  4. Step 4: Simplify right side
    704.28x = 412,566.84
  5. Step 5: Solve for x
    x = 412,566.84/704.28
  6. Step 6: Final answer
    x = 585.80

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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.