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Finding the Fourth Proportional to 584.03, 874.53 and 340.43

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Solution

The fourth proportional to 584.03, 874.53 and 340.43 is: 509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.03 : 874.53 = 340.43 : x
  2. Step 2: Convert to fraction form
    584.03/874.53 = 340.43/x
  3. Step 3: Cross multiply
    584.03x = 874.53 × 340.43
  4. Step 4: Simplify right side
    584.03x = 297,711.88
  5. Step 5: Solve for x
    x = 297,711.88/584.03
  6. Step 6: Final answer
    x = 509.75

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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.