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Finding the Fourth Proportional to 628.29, 866.73 and 407.31

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Solution

The fourth proportional to 628.29, 866.73 and 407.31 is: 561.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.29 : 866.73 = 407.31 : x
  2. Step 2: Convert to fraction form
    628.29/866.73 = 407.31/x
  3. Step 3: Cross multiply
    628.29x = 866.73 × 407.31
  4. Step 4: Simplify right side
    628.29x = 353,027.80
  5. Step 5: Solve for x
    x = 353,027.80/628.29
  6. Step 6: Final answer
    x = 561.89

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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.