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Finding the Fourth Proportional to 521.42, 722.85 and 493.68

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Solution

The fourth proportional to 521.42, 722.85 and 493.68 is: 684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.42 : 722.85 = 493.68 : x
  2. Step 2: Convert to fraction form
    521.42/722.85 = 493.68/x
  3. Step 3: Cross multiply
    521.42x = 722.85 × 493.68
  4. Step 4: Simplify right side
    521.42x = 356,853.88
  5. Step 5: Solve for x
    x = 356,853.88/521.42
  6. Step 6: Final answer
    x = 684.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.