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Finding the Fourth Proportional to 716.94, 989.62 and 465.21

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Solution

The fourth proportional to 716.94, 989.62 and 465.21 is: 642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.94 : 989.62 = 465.21 : x
  2. Step 2: Convert to fraction form
    716.94/989.62 = 465.21/x
  3. Step 3: Cross multiply
    716.94x = 989.62 × 465.21
  4. Step 4: Simplify right side
    716.94x = 460,379.96
  5. Step 5: Solve for x
    x = 460,379.96/716.94
  6. Step 6: Final answer
    x = 642.15

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Why These Related Problems?

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