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Finding the Fourth Proportional to 584.42, 806.50 and 335.74

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Solution

The fourth proportional to 584.42, 806.50 and 335.74 is: 463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.42 : 806.50 = 335.74 : x
  2. Step 2: Convert to fraction form
    584.42/806.50 = 335.74/x
  3. Step 3: Cross multiply
    584.42x = 806.50 × 335.74
  4. Step 4: Simplify right side
    584.42x = 270,774.31
  5. Step 5: Solve for x
    x = 270,774.31/584.42
  6. Step 6: Final answer
    x = 463.32

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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.