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Finding the Fourth Proportional to 584.96, 807.36 and 385.44

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Solution

The fourth proportional to 584.96, 807.36 and 385.44 is: 531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.96 : 807.36 = 385.44 : x
  2. Step 2: Convert to fraction form
    584.96/807.36 = 385.44/x
  3. Step 3: Cross multiply
    584.96x = 807.36 × 385.44
  4. Step 4: Simplify right side
    584.96x = 311,184.37
  5. Step 5: Solve for x
    x = 311,184.37/584.96
  6. Step 6: Final answer
    x = 531.98

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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.