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Finding the Fourth Proportional to 706.09, 974.49 and 411.30

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Solution

The fourth proportional to 706.09, 974.49 and 411.30 is: 567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.09 : 974.49 = 411.30 : x
  2. Step 2: Convert to fraction form
    706.09/974.49 = 411.30/x
  3. Step 3: Cross multiply
    706.09x = 974.49 × 411.30
  4. Step 4: Simplify right side
    706.09x = 400,807.74
  5. Step 5: Solve for x
    x = 400,807.74/706.09
  6. Step 6: Final answer
    x = 567.64

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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.