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Finding the Fourth Proportional to 643.28, 965.08 and 258.52

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Solution

The fourth proportional to 643.28, 965.08 and 258.52 is: 387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.28 : 965.08 = 258.52 : x
  2. Step 2: Convert to fraction form
    643.28/965.08 = 258.52/x
  3. Step 3: Cross multiply
    643.28x = 965.08 × 258.52
  4. Step 4: Simplify right side
    643.28x = 249,492.48
  5. Step 5: Solve for x
    x = 249,492.48/643.28
  6. Step 6: Final answer
    x = 387.84

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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.