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Finding the Fourth Proportional to 716.50, 988.79 and 406.02

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Solution

The fourth proportional to 716.50, 988.79 and 406.02 is: 560.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.50 : 988.79 = 406.02 : x
  2. Step 2: Convert to fraction form
    716.50/988.79 = 406.02/x
  3. Step 3: Cross multiply
    716.50x = 988.79 × 406.02
  4. Step 4: Simplify right side
    716.50x = 401,468.52
  5. Step 5: Solve for x
    x = 401,468.52/716.50
  6. Step 6: Final answer
    x = 560.32

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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.