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Finding the Fourth Proportional to 628.56, 865.89 and 511.92

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Solution

The fourth proportional to 628.56, 865.89 and 511.92 is: 705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.56 : 865.89 = 511.92 : x
  2. Step 2: Convert to fraction form
    628.56/865.89 = 511.92/x
  3. Step 3: Cross multiply
    628.56x = 865.89 × 511.92
  4. Step 4: Simplify right side
    628.56x = 443,266.41
  5. Step 5: Solve for x
    x = 443,266.41/628.56
  6. Step 6: Final answer
    x = 705.21

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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.