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Finding the Fourth Proportional to 646.17, 969.75 and 372.79

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Solution

The fourth proportional to 646.17, 969.75 and 372.79 is: 559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.17 : 969.75 = 372.79 : x
  2. Step 2: Convert to fraction form
    646.17/969.75 = 372.79/x
  3. Step 3: Cross multiply
    646.17x = 969.75 × 372.79
  4. Step 4: Simplify right side
    646.17x = 361,513.10
  5. Step 5: Solve for x
    x = 361,513.10/646.17
  6. Step 6: Final answer
    x = 559.47

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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.