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Finding the Fourth Proportional to 718.26, 991.29 and 407.82

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Solution

The fourth proportional to 718.26, 991.29 and 407.82 is: 562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.26 : 991.29 = 407.82 : x
  2. Step 2: Convert to fraction form
    718.26/991.29 = 407.82/x
  3. Step 3: Cross multiply
    718.26x = 991.29 × 407.82
  4. Step 4: Simplify right side
    718.26x = 404,267.89
  5. Step 5: Solve for x
    x = 404,267.89/718.26
  6. Step 6: Final answer
    x = 562.84

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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.