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Finding the Fourth Proportional to 716.37, 988.64 and 421.66

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Solution

The fourth proportional to 716.37, 988.64 and 421.66 is: 581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.37 : 988.64 = 421.66 : x
  2. Step 2: Convert to fraction form
    716.37/988.64 = 421.66/x
  3. Step 3: Cross multiply
    716.37x = 988.64 × 421.66
  4. Step 4: Simplify right side
    716.37x = 416,869.07
  5. Step 5: Solve for x
    x = 416,869.07/716.37
  6. Step 6: Final answer
    x = 581.92

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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.