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Finding the Fourth Proportional to 630.09, 869.74 and 368.33

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Solution

The fourth proportional to 630.09, 869.74 and 368.33 is: 508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.09 : 869.74 = 368.33 : x
  2. Step 2: Convert to fraction form
    630.09/869.74 = 368.33/x
  3. Step 3: Cross multiply
    630.09x = 869.74 × 368.33
  4. Step 4: Simplify right side
    630.09x = 320,346.06
  5. Step 5: Solve for x
    x = 320,346.06/630.09
  6. Step 6: Final answer
    x = 508.41

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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.