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Finding the Fourth Proportional to 706.34, 974.95 and 411.71

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Solution

The fourth proportional to 706.34, 974.95 and 411.71 is: 568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.34 : 974.95 = 411.71 : x
  2. Step 2: Convert to fraction form
    706.34/974.95 = 411.71/x
  3. Step 3: Cross multiply
    706.34x = 974.95 × 411.71
  4. Step 4: Simplify right side
    706.34x = 401,390.76
  5. Step 5: Solve for x
    x = 401,390.76/706.34
  6. Step 6: Final answer
    x = 568.27

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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.