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Finding the Fourth Proportional to 669.61, 1,004.42 and 258.94

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Solution

The fourth proportional to 669.61, 1,004.42 and 258.94 is: 388.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.61 : 1,004.42 = 258.94 : x
  2. Step 2: Convert to fraction form
    669.61/1,004.42 = 258.94/x
  3. Step 3: Cross multiply
    669.61x = 1,004.42 × 258.94
  4. Step 4: Simplify right side
    669.61x = 260,083.22
  5. Step 5: Solve for x
    x = 260,083.22/669.61
  6. Step 6: Final answer
    x = 388.41

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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.