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Finding the Fourth Proportional to 646.17, 968.99 and 357.27

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Solution

The fourth proportional to 646.17, 968.99 and 357.27 is: 535.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.17 : 968.99 = 357.27 : x
  2. Step 2: Convert to fraction form
    646.17/968.99 = 357.27/x
  3. Step 3: Cross multiply
    646.17x = 968.99 × 357.27
  4. Step 4: Simplify right side
    646.17x = 346,189.27
  5. Step 5: Solve for x
    x = 346,189.27/646.17
  6. Step 6: Final answer
    x = 535.76

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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.