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Finding the Fourth Proportional to 680.79, 938.84 and 457.23

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Solution

The fourth proportional to 680.79, 938.84 and 457.23 is: 630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.79 : 938.84 = 457.23 : x
  2. Step 2: Convert to fraction form
    680.79/938.84 = 457.23/x
  3. Step 3: Cross multiply
    680.79x = 938.84 × 457.23
  4. Step 4: Simplify right side
    680.79x = 429,266.96
  5. Step 5: Solve for x
    x = 429,266.96/680.79
  6. Step 6: Final answer
    x = 630.54

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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.