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Finding the Fourth Proportional to 646.11, 969.57 and 357.75

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Solution

The fourth proportional to 646.11, 969.57 and 357.75 is: 536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.11 : 969.57 = 357.75 : x
  2. Step 2: Convert to fraction form
    646.11/969.57 = 357.75/x
  3. Step 3: Cross multiply
    646.11x = 969.57 × 357.75
  4. Step 4: Simplify right side
    646.11x = 346,863.67
  5. Step 5: Solve for x
    x = 346,863.67/646.11
  6. Step 6: Final answer
    x = 536.85

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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.