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Finding the Fourth Proportional to 706.08, 974.32 and 411.29

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Solution

The fourth proportional to 706.08, 974.32 and 411.29 is: 567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.08 : 974.32 = 411.29 : x
  2. Step 2: Convert to fraction form
    706.08/974.32 = 411.29/x
  3. Step 3: Cross multiply
    706.08x = 974.32 × 411.29
  4. Step 4: Simplify right side
    706.08x = 400,728.07
  5. Step 5: Solve for x
    x = 400,728.07/706.08
  6. Step 6: Final answer
    x = 567.54

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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.