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Finding the Fourth Proportional to 584.29, 802.09 and 578.82

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Solution

The fourth proportional to 584.29, 802.09 and 578.82 is: 794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.29 : 802.09 = 578.82 : x
  2. Step 2: Convert to fraction form
    584.29/802.09 = 578.82/x
  3. Step 3: Cross multiply
    584.29x = 802.09 × 578.82
  4. Step 4: Simplify right side
    584.29x = 464,265.73
  5. Step 5: Solve for x
    x = 464,265.73/584.29
  6. Step 6: Final answer
    x = 794.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.