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Finding the Fourth Proportional to 706.16, 974.12 and 411.37

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Solution

The fourth proportional to 706.16, 974.12 and 411.37 is: 567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.16 : 974.12 = 411.37 : x
  2. Step 2: Convert to fraction form
    706.16/974.12 = 411.37/x
  3. Step 3: Cross multiply
    706.16x = 974.12 × 411.37
  4. Step 4: Simplify right side
    706.16x = 400,719.25
  5. Step 5: Solve for x
    x = 400,719.25/706.16
  6. Step 6: Final answer
    x = 567.46

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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.