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Finding the Fourth Proportional to 704.03, 971.54 and 424.26

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Solution

The fourth proportional to 704.03, 971.54 and 424.26 is: 585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.03 : 971.54 = 424.26 : x
  2. Step 2: Convert to fraction form
    704.03/971.54 = 424.26/x
  3. Step 3: Cross multiply
    704.03x = 971.54 × 424.26
  4. Step 4: Simplify right side
    704.03x = 412,189.05
  5. Step 5: Solve for x
    x = 412,189.05/704.03
  6. Step 6: Final answer
    x = 585.47

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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.