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Finding the Fourth Proportional to 582.58, 874.23 and 336.09

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Solution

The fourth proportional to 582.58, 874.23 and 336.09 is: 504.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.58 : 874.23 = 336.09 : x
  2. Step 2: Convert to fraction form
    582.58/874.23 = 336.09/x
  3. Step 3: Cross multiply
    582.58x = 874.23 × 336.09
  4. Step 4: Simplify right side
    582.58x = 293,821.98
  5. Step 5: Solve for x
    x = 293,821.98/582.58
  6. Step 6: Final answer
    x = 504.35

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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.