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Finding the Fourth Proportional to 584.92, 876.48 and 367.96

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Solution

The fourth proportional to 584.92, 876.48 and 367.96 is: 551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.92 : 876.48 = 367.96 : x
  2. Step 2: Convert to fraction form
    584.92/876.48 = 367.96/x
  3. Step 3: Cross multiply
    584.92x = 876.48 × 367.96
  4. Step 4: Simplify right side
    584.92x = 322,509.58
  5. Step 5: Solve for x
    x = 322,509.58/584.92
  6. Step 6: Final answer
    x = 551.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.