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Finding the Fourth Proportional to 585.09, 806.85 and 427.50

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Solution

The fourth proportional to 585.09, 806.85 and 427.50 is: 589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.09 : 806.85 = 427.50 : x
  2. Step 2: Convert to fraction form
    585.09/806.85 = 427.50/x
  3. Step 3: Cross multiply
    585.09x = 806.85 × 427.50
  4. Step 4: Simplify right side
    585.09x = 344,928.38
  5. Step 5: Solve for x
    x = 344,928.38/585.09
  6. Step 6: Final answer
    x = 589.53

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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.