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Finding the Fourth Proportional to 646.07, 967.21 and 492.57

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Solution

The fourth proportional to 646.07, 967.21 and 492.57 is: 737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.07 : 967.21 = 492.57 : x
  2. Step 2: Convert to fraction form
    646.07/967.21 = 492.57/x
  3. Step 3: Cross multiply
    646.07x = 967.21 × 492.57
  4. Step 4: Simplify right side
    646.07x = 476,417.40
  5. Step 5: Solve for x
    x = 476,417.40/646.07
  6. Step 6: Final answer
    x = 737.41

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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.