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Finding the Fourth Proportional to 487.70, 727.79 and 435.80

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Solution

The fourth proportional to 487.70, 727.79 and 435.80 is: 650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.70 : 727.79 = 435.80 : x
  2. Step 2: Convert to fraction form
    487.70/727.79 = 435.80/x
  3. Step 3: Cross multiply
    487.70x = 727.79 × 435.80
  4. Step 4: Simplify right side
    487.70x = 317,170.88
  5. Step 5: Solve for x
    x = 317,170.88/487.70
  6. Step 6: Final answer
    x = 650.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.