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Finding the Fourth Proportional to 584.39, 876.31 and 310.41

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Solution

The fourth proportional to 584.39, 876.31 and 310.41 is: 465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.39 : 876.31 = 310.41 : x
  2. Step 2: Convert to fraction form
    584.39/876.31 = 310.41/x
  3. Step 3: Cross multiply
    584.39x = 876.31 × 310.41
  4. Step 4: Simplify right side
    584.39x = 272,015.39
  5. Step 5: Solve for x
    x = 272,015.39/584.39
  6. Step 6: Final answer
    x = 465.47

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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.