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Finding the Fourth Proportional to 704.42, 972.06 and 409.66

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Solution

The fourth proportional to 704.42, 972.06 and 409.66 is: 565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.42 : 972.06 = 409.66 : x
  2. Step 2: Convert to fraction form
    704.42/972.06 = 409.66/x
  3. Step 3: Cross multiply
    704.42x = 972.06 × 409.66
  4. Step 4: Simplify right side
    704.42x = 398,214.10
  5. Step 5: Solve for x
    x = 398,214.10/704.42
  6. Step 6: Final answer
    x = 565.31

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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.