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Finding the Fourth Proportional to 507.85, 701.22 and 446.41

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Solution

The fourth proportional to 507.85, 701.22 and 446.41 is: 616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.85 : 701.22 = 446.41 : x
  2. Step 2: Convert to fraction form
    507.85/701.22 = 446.41/x
  3. Step 3: Cross multiply
    507.85x = 701.22 × 446.41
  4. Step 4: Simplify right side
    507.85x = 313,031.62
  5. Step 5: Solve for x
    x = 313,031.62/507.85
  6. Step 6: Final answer
    x = 616.39

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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.