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Finding the Fourth Proportional to 700.94, 967.46 and 435.23

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Solution

The fourth proportional to 700.94, 967.46 and 435.23 is: 600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.94 : 967.46 = 435.23 : x
  2. Step 2: Convert to fraction form
    700.94/967.46 = 435.23/x
  3. Step 3: Cross multiply
    700.94x = 967.46 × 435.23
  4. Step 4: Simplify right side
    700.94x = 421,060.60
  5. Step 5: Solve for x
    x = 421,060.60/700.94
  6. Step 6: Final answer
    x = 600.71

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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.