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Finding the Fourth Proportional to 504.50, 696.58 and 406.70

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Solution

The fourth proportional to 504.50, 696.58 and 406.70 is: 561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.50 : 696.58 = 406.70 : x
  2. Step 2: Convert to fraction form
    504.50/696.58 = 406.70/x
  3. Step 3: Cross multiply
    504.50x = 696.58 × 406.70
  4. Step 4: Simplify right side
    504.50x = 283,299.09
  5. Step 5: Solve for x
    x = 283,299.09/504.50
  6. Step 6: Final answer
    x = 561.54

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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.