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Finding the Fourth Proportional to 584.43, 876.51 and 209.23

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Solution

The fourth proportional to 584.43, 876.51 and 209.23 is: 313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.43 : 876.51 = 209.23 : x
  2. Step 2: Convert to fraction form
    584.43/876.51 = 209.23/x
  3. Step 3: Cross multiply
    584.43x = 876.51 × 209.23
  4. Step 4: Simplify right side
    584.43x = 183,392.19
  5. Step 5: Solve for x
    x = 183,392.19/584.43
  6. Step 6: Final answer
    x = 313.80

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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.