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Finding the Fourth Proportional to 485.01, 669.24 and 319.14

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Solution

The fourth proportional to 485.01, 669.24 and 319.14 is: 440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.01 : 669.24 = 319.14 : x
  2. Step 2: Convert to fraction form
    485.01/669.24 = 319.14/x
  3. Step 3: Cross multiply
    485.01x = 669.24 × 319.14
  4. Step 4: Simplify right side
    485.01x = 213,581.25
  5. Step 5: Solve for x
    x = 213,581.25/485.01
  6. Step 6: Final answer
    x = 440.36

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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.