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Finding the Fourth Proportional to 716.96, 989.52 and 406.56

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Solution

The fourth proportional to 716.96, 989.52 and 406.56 is: 561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.96 : 989.52 = 406.56 : x
  2. Step 2: Convert to fraction form
    716.96/989.52 = 406.56/x
  3. Step 3: Cross multiply
    716.96x = 989.52 × 406.56
  4. Step 4: Simplify right side
    716.96x = 402,299.25
  5. Step 5: Solve for x
    x = 402,299.25/716.96
  6. Step 6: Final answer
    x = 561.12

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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.