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Finding the Fourth Proportional to 485.90, 727.48 and 436.69

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Solution

The fourth proportional to 485.90, 727.48 and 436.69 is: 653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.90 : 727.48 = 436.69 : x
  2. Step 2: Convert to fraction form
    485.90/727.48 = 436.69/x
  3. Step 3: Cross multiply
    485.90x = 727.48 × 436.69
  4. Step 4: Simplify right side
    485.90x = 317,684.70
  5. Step 5: Solve for x
    x = 317,684.70/485.90
  6. Step 6: Final answer
    x = 653.81

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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.