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Finding the Fourth Proportional to 504.75, 696.20 and 487.82

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Solution

The fourth proportional to 504.75, 696.20 and 487.82 is: 672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.75 : 696.20 = 487.82 : x
  2. Step 2: Convert to fraction form
    504.75/696.20 = 487.82/x
  3. Step 3: Cross multiply
    504.75x = 696.20 × 487.82
  4. Step 4: Simplify right side
    504.75x = 339,616.80
  5. Step 5: Solve for x
    x = 339,616.80/504.75
  6. Step 6: Final answer
    x = 672.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.