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Finding the Fourth Proportional to 475.88, 716.24 and 405.41

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Solution

The fourth proportional to 475.88, 716.24 and 405.41 is: 610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.88 : 716.24 = 405.41 : x
  2. Step 2: Convert to fraction form
    475.88/716.24 = 405.41/x
  3. Step 3: Cross multiply
    475.88x = 716.24 × 405.41
  4. Step 4: Simplify right side
    475.88x = 290,368.29
  5. Step 5: Solve for x
    x = 290,368.29/475.88
  6. Step 6: Final answer
    x = 610.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.