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Finding the Fourth Proportional to 704.19, 972.11 and 409.40

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Solution

The fourth proportional to 704.19, 972.11 and 409.40 is: 565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.19 : 972.11 = 409.40 : x
  2. Step 2: Convert to fraction form
    704.19/972.11 = 409.40/x
  3. Step 3: Cross multiply
    704.19x = 972.11 × 409.40
  4. Step 4: Simplify right side
    704.19x = 397,979.79
  5. Step 5: Solve for x
    x = 397,979.79/704.19
  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.