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Finding the Fourth Proportional to 504.24, 696.60 and 475.44

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Solution

The fourth proportional to 504.24, 696.60 and 475.44 is: 656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.24 : 696.60 = 475.44 : x
  2. Step 2: Convert to fraction form
    504.24/696.60 = 475.44/x
  3. Step 3: Cross multiply
    504.24x = 696.60 × 475.44
  4. Step 4: Simplify right side
    504.24x = 331,191.50
  5. Step 5: Solve for x
    x = 331,191.50/504.24
  6. Step 6: Final answer
    x = 656.81

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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.