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Finding the Fourth Proportional to 475.75, 712.95 and 405.97

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Solution

The fourth proportional to 475.75, 712.95 and 405.97 is: 608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.75 : 712.95 = 405.97 : x
  2. Step 2: Convert to fraction form
    475.75/712.95 = 405.97/x
  3. Step 3: Cross multiply
    475.75x = 712.95 × 405.97
  4. Step 4: Simplify right side
    475.75x = 289,436.31
  5. Step 5: Solve for x
    x = 289,436.31/475.75
  6. Step 6: Final answer
    x = 608.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.