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Finding the Fourth Proportional to 718.14, 991.08 and 407.64

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Solution

The fourth proportional to 718.14, 991.08 and 407.64 is: 562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.14 : 991.08 = 407.64 : x
  2. Step 2: Convert to fraction form
    718.14/991.08 = 407.64/x
  3. Step 3: Cross multiply
    718.14x = 991.08 × 407.64
  4. Step 4: Simplify right side
    718.14x = 404,003.85
  5. Step 5: Solve for x
    x = 404,003.85/718.14
  6. Step 6: Final answer
    x = 562.57

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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.