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Finding the Fourth Proportional to 706.42, 974.84 and 395.92

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Solution

The fourth proportional to 706.42, 974.84 and 395.92 is: 546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.42 : 974.84 = 395.92 : x
  2. Step 2: Convert to fraction form
    706.42/974.84 = 395.92/x
  3. Step 3: Cross multiply
    706.42x = 974.84 × 395.92
  4. Step 4: Simplify right side
    706.42x = 385,954.24
  5. Step 5: Solve for x
    x = 385,954.24/706.42
  6. Step 6: Final answer
    x = 546.35

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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.