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Finding the Fourth Proportional to 704.10, 971.65 and 409.54

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Solution

The fourth proportional to 704.10, 971.65 and 409.54 is: 565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.10 : 971.65 = 409.54 : x
  2. Step 2: Convert to fraction form
    704.10/971.65 = 409.54/x
  3. Step 3: Cross multiply
    704.10x = 971.65 × 409.54
  4. Step 4: Simplify right side
    704.10x = 397,929.54
  5. Step 5: Solve for x
    x = 397,929.54/704.10
  6. Step 6: Final answer
    x = 565.16

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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.