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Finding the Fourth Proportional to 704.10, 971.64 and 424.29

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Solution

The fourth proportional to 704.10, 971.64 and 424.29 is: 585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.10 : 971.64 = 424.29 : x
  2. Step 2: Convert to fraction form
    704.10/971.64 = 424.29/x
  3. Step 3: Cross multiply
    704.10x = 971.64 × 424.29
  4. Step 4: Simplify right side
    704.10x = 412,257.14
  5. Step 5: Solve for x
    x = 412,257.14/704.10
  6. Step 6: Final answer
    x = 585.51

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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.