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Finding the Fourth Proportional to 628.26, 866.78 and 407.50

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Solution

The fourth proportional to 628.26, 866.78 and 407.50 is: 562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.26 : 866.78 = 407.50 : x
  2. Step 2: Convert to fraction form
    628.26/866.78 = 407.50/x
  3. Step 3: Cross multiply
    628.26x = 866.78 × 407.50
  4. Step 4: Simplify right side
    628.26x = 353,212.85
  5. Step 5: Solve for x
    x = 353,212.85/628.26
  6. Step 6: Final answer
    x = 562.21

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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.