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Finding the Fourth Proportional to 700.96, 967.36 and 421.33

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Solution

The fourth proportional to 700.96, 967.36 and 421.33 is: 581.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.96 : 967.36 = 421.33 : x
  2. Step 2: Convert to fraction form
    700.96/967.36 = 421.33/x
  3. Step 3: Cross multiply
    700.96x = 967.36 × 421.33
  4. Step 4: Simplify right side
    700.96x = 407,574.20
  5. Step 5: Solve for x
    x = 407,574.20/700.96
  6. Step 6: Final answer
    x = 581.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.