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Finding the Fourth Proportional to 868.37, 1,302.80 and 406.47

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Solution

The fourth proportional to 868.37, 1,302.80 and 406.47 is: 609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.37 : 1,302.80 = 406.47 : x
  2. Step 2: Convert to fraction form
    868.37/1,302.80 = 406.47/x
  3. Step 3: Cross multiply
    868.37x = 1,302.80 × 406.47
  4. Step 4: Simplify right side
    868.37x = 529,542.60
  5. Step 5: Solve for x
    x = 529,542.60/868.37
  6. Step 6: Final answer
    x = 609.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.