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Finding the Fourth Proportional to 584.91, 806.98 and 375.20

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Solution

The fourth proportional to 584.91, 806.98 and 375.20 is: 517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.91 : 806.98 = 375.20 : x
  2. Step 2: Convert to fraction form
    584.91/806.98 = 375.20/x
  3. Step 3: Cross multiply
    584.91x = 806.98 × 375.20
  4. Step 4: Simplify right side
    584.91x = 302,776.41
  5. Step 5: Solve for x
    x = 302,776.41/584.91
  6. Step 6: Final answer
    x = 517.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.