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Finding the Fourth Proportional to 716.60, 988.98 and 406.12

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Solution

The fourth proportional to 716.60, 988.98 and 406.12 is: 560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.60 : 988.98 = 406.12 : x
  2. Step 2: Convert to fraction form
    716.60/988.98 = 406.12/x
  3. Step 3: Cross multiply
    716.60x = 988.98 × 406.12
  4. Step 4: Simplify right side
    716.60x = 401,644.56
  5. Step 5: Solve for x
    x = 401,644.56/716.60
  6. Step 6: Final answer
    x = 560.49

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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.