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Finding the Fourth Proportional to 630.37, 869.79 and 409.33

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Solution

The fourth proportional to 630.37, 869.79 and 409.33 is: 564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.37 : 869.79 = 409.33 : x
  2. Step 2: Convert to fraction form
    630.37/869.79 = 409.33/x
  3. Step 3: Cross multiply
    630.37x = 869.79 × 409.33
  4. Step 4: Simplify right side
    630.37x = 356,031.14
  5. Step 5: Solve for x
    x = 356,031.14/630.37
  6. Step 6: Final answer
    x = 564.80

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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.