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Finding the Fourth Proportional to 504.50, 696.87 and 406.62

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Solution

The fourth proportional to 504.50, 696.87 and 406.62 is: 561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.50 : 696.87 = 406.62 : x
  2. Step 2: Convert to fraction form
    504.50/696.87 = 406.62/x
  3. Step 3: Cross multiply
    504.50x = 696.87 × 406.62
  4. Step 4: Simplify right side
    504.50x = 283,361.28
  5. Step 5: Solve for x
    x = 283,361.28/504.50
  6. Step 6: Final answer
    x = 561.67

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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.