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Finding the Fourth Proportional to 630.26, 944.74 and 456.50

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Solution

The fourth proportional to 630.26, 944.74 and 456.50 is: 684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.26 : 944.74 = 456.50 : x
  2. Step 2: Convert to fraction form
    630.26/944.74 = 456.50/x
  3. Step 3: Cross multiply
    630.26x = 944.74 × 456.50
  4. Step 4: Simplify right side
    630.26x = 431,266.80
  5. Step 5: Solve for x
    x = 431,266.80/630.26
  6. Step 6: Final answer
    x = 684.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.