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Finding the Fourth Proportional to 584.20, 805.72 and 397.82

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Solution

The fourth proportional to 584.20, 805.72 and 397.82 is: 548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.20 : 805.72 = 397.82 : x
  2. Step 2: Convert to fraction form
    584.20/805.72 = 397.82/x
  3. Step 3: Cross multiply
    584.20x = 805.72 × 397.82
  4. Step 4: Simplify right side
    584.20x = 320,531.53
  5. Step 5: Solve for x
    x = 320,531.53/584.20
  6. Step 6: Final answer
    x = 548.67

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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.