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Finding the Fourth Proportional to 700.56, 966.52 and 438.64

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Solution

The fourth proportional to 700.56, 966.52 and 438.64 is: 605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.56 : 966.52 = 438.64 : x
  2. Step 2: Convert to fraction form
    700.56/966.52 = 438.64/x
  3. Step 3: Cross multiply
    700.56x = 966.52 × 438.64
  4. Step 4: Simplify right side
    700.56x = 423,954.33
  5. Step 5: Solve for x
    x = 423,954.33/700.56
  6. Step 6: Final answer
    x = 605.16

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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.