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Finding the Fourth Proportional to 643.39, 964.25 and 258.91

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Solution

The fourth proportional to 643.39, 964.25 and 258.91 is: 388.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.39 : 964.25 = 258.91 : x
  2. Step 2: Convert to fraction form
    643.39/964.25 = 258.91/x
  3. Step 3: Cross multiply
    643.39x = 964.25 × 258.91
  4. Step 4: Simplify right side
    643.39x = 249,652.67
  5. Step 5: Solve for x
    x = 249,652.67/643.39
  6. Step 6: Final answer
    x = 388.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.