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Finding the Fourth Proportional to 485.59, 669.75 and 289.12

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Solution

The fourth proportional to 485.59, 669.75 and 289.12 is: 398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.59 : 669.75 = 289.12 : x
  2. Step 2: Convert to fraction form
    485.59/669.75 = 289.12/x
  3. Step 3: Cross multiply
    485.59x = 669.75 × 289.12
  4. Step 4: Simplify right side
    485.59x = 193,638.12
  5. Step 5: Solve for x
    x = 193,638.12/485.59
  6. Step 6: Final answer
    x = 398.77

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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.