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Finding the Fourth Proportional to 628.34, 866.58 and 404.31

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Solution

The fourth proportional to 628.34, 866.58 and 404.31 is: 557.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.34 : 866.58 = 404.31 : x
  2. Step 2: Convert to fraction form
    628.34/866.58 = 404.31/x
  3. Step 3: Cross multiply
    628.34x = 866.58 × 404.31
  4. Step 4: Simplify right side
    628.34x = 350,366.96
  5. Step 5: Solve for x
    x = 350,366.96/628.34
  6. Step 6: Final answer
    x = 557.61

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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.