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Finding the Fourth Proportional to 475, 712.82 and 186.46

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Solution

The fourth proportional to 475, 712.82 and 186.46 is: 279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475 : 712.82 = 186.46 : x
  2. Step 2: Convert to fraction form
    475/712.82 = 186.46/x
  3. Step 3: Cross multiply
    475x = 712.82 × 186.46
  4. Step 4: Simplify right side
    475x = 132,911.48
  5. Step 5: Solve for x
    x = 132,911.48/475
  6. Step 6: Final answer
    x = 279.81

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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.