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Finding the Fourth Proportional to 507.60, 701.28 and 396.72

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Solution

The fourth proportional to 507.60, 701.28 and 396.72 is: 548.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 701.28 = 396.72 : x
  2. Step 2: Convert to fraction form
    507.60/701.28 = 396.72/x
  3. Step 3: Cross multiply
    507.60x = 701.28 × 396.72
  4. Step 4: Simplify right side
    507.60x = 278,211.80
  5. Step 5: Solve for x
    x = 278,211.80/507.60
  6. Step 6: Final answer
    x = 548.09

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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.