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Finding the Fourth Proportional to 704.16, 971.75 and 409.52

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Solution

The fourth proportional to 704.16, 971.75 and 409.52 is: 565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.16 : 971.75 = 409.52 : x
  2. Step 2: Convert to fraction form
    704.16/971.75 = 409.52/x
  3. Step 3: Cross multiply
    704.16x = 971.75 × 409.52
  4. Step 4: Simplify right side
    704.16x = 397,952.21
  5. Step 5: Solve for x
    x = 397,952.21/704.16
  6. Step 6: Final answer
    x = 565.14

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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.