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Finding the Fourth Proportional to 706.45, 974.50 and 450.46

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Solution

The fourth proportional to 706.45, 974.50 and 450.46 is: 621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.45 : 974.50 = 450.46 : x
  2. Step 2: Convert to fraction form
    706.45/974.50 = 450.46/x
  3. Step 3: Cross multiply
    706.45x = 974.50 × 450.46
  4. Step 4: Simplify right side
    706.45x = 438,971.40
  5. Step 5: Solve for x
    x = 438,971.40/706.45
  6. Step 6: Final answer
    x = 621.38

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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.