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Finding the Fourth Proportional to 669.78, 1,004.64 and 304.30

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Solution

The fourth proportional to 669.78, 1,004.64 and 304.30 is: 456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.78 : 1,004.64 = 304.30 : x
  2. Step 2: Convert to fraction form
    669.78/1,004.64 = 304.30/x
  3. Step 3: Cross multiply
    669.78x = 1,004.64 × 304.30
  4. Step 4: Simplify right side
    669.78x = 305,711.95
  5. Step 5: Solve for x
    x = 305,711.95/669.78
  6. Step 6: Final answer
    x = 456.44

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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.