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Finding the Fourth Proportional to 701.12, 967.32 and 421.46

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Solution

The fourth proportional to 701.12, 967.32 and 421.46 is: 581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.12 : 967.32 = 421.46 : x
  2. Step 2: Convert to fraction form
    701.12/967.32 = 421.46/x
  3. Step 3: Cross multiply
    701.12x = 967.32 × 421.46
  4. Step 4: Simplify right side
    701.12x = 407,686.69
  5. Step 5: Solve for x
    x = 407,686.69/701.12
  6. Step 6: Final answer
    x = 581.48

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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.