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Finding the Fourth Proportional to 706.52, 974.93 and 411.72

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Solution

The fourth proportional to 706.52, 974.93 and 411.72 is: 568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.52 : 974.93 = 411.72 : x
  2. Step 2: Convert to fraction form
    706.52/974.93 = 411.72/x
  3. Step 3: Cross multiply
    706.52x = 974.93 × 411.72
  4. Step 4: Simplify right side
    706.52x = 401,396.12
  5. Step 5: Solve for x
    x = 401,396.12/706.52
  6. Step 6: Final answer
    x = 568.14

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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.