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Finding the Fourth Proportional to 706.16, 974.50 and 395.66

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Solution

The fourth proportional to 706.16, 974.50 and 395.66 is: 546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.16 : 974.50 = 395.66 : x
  2. Step 2: Convert to fraction form
    706.16/974.50 = 395.66/x
  3. Step 3: Cross multiply
    706.16x = 974.50 × 395.66
  4. Step 4: Simplify right side
    706.16x = 385,569.68
  5. Step 5: Solve for x
    x = 385,569.68/706.16
  6. Step 6: Final answer
    x = 546.01

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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.