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Finding the Fourth Proportional to 706.50, 974.70 and 444.42

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Solution

The fourth proportional to 706.50, 974.70 and 444.42 is: 613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.50 : 974.70 = 444.42 : x
  2. Step 2: Convert to fraction form
    706.50/974.70 = 444.42/x
  3. Step 3: Cross multiply
    706.50x = 974.70 × 444.42
  4. Step 4: Simplify right side
    706.50x = 433,176.17
  5. Step 5: Solve for x
    x = 433,176.17/706.50
  6. Step 6: Final answer
    x = 613.13

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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.