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Finding the Fourth Proportional to 504.47, 696.21 and 283.44

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Solution

The fourth proportional to 504.47, 696.21 and 283.44 is: 391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.47 : 696.21 = 283.44 : x
  2. Step 2: Convert to fraction form
    504.47/696.21 = 283.44/x
  3. Step 3: Cross multiply
    504.47x = 696.21 × 283.44
  4. Step 4: Simplify right side
    504.47x = 197,335.31
  5. Step 5: Solve for x
    x = 197,335.31/504.47
  6. Step 6: Final answer
    x = 391.17

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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.