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Finding the Fourth Proportional to 584.93, 876.72 and 470.09

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Solution

The fourth proportional to 584.93, 876.72 and 470.09 is: 704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.93 : 876.72 = 470.09 : x
  2. Step 2: Convert to fraction form
    584.93/876.72 = 470.09/x
  3. Step 3: Cross multiply
    584.93x = 876.72 × 470.09
  4. Step 4: Simplify right side
    584.93x = 412,137.30
  5. Step 5: Solve for x
    x = 412,137.30/584.93
  6. Step 6: Final answer
    x = 704.59

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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.