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Finding the Fourth Proportional to 646.30, 890.32 and 480.22

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Solution

The fourth proportional to 646.30, 890.32 and 480.22 is: 661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.30 : 890.32 = 480.22 : x
  2. Step 2: Convert to fraction form
    646.30/890.32 = 480.22/x
  3. Step 3: Cross multiply
    646.30x = 890.32 × 480.22
  4. Step 4: Simplify right side
    646.30x = 427,552.90
  5. Step 5: Solve for x
    x = 427,552.90/646.30
  6. Step 6: Final answer
    x = 661.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.