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Finding the Fourth Proportional to 646.45, 969.82 and 235.60

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Solution

The fourth proportional to 646.45, 969.82 and 235.60 is: 353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.45 : 969.82 = 235.60 : x
  2. Step 2: Convert to fraction form
    646.45/969.82 = 235.60/x
  3. Step 3: Cross multiply
    646.45x = 969.82 × 235.60
  4. Step 4: Simplify right side
    646.45x = 228,486.58
  5. Step 5: Solve for x
    x = 228,486.58/646.45
  6. Step 6: Final answer
    x = 353.45

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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.