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Finding the Fourth Proportional to 585.35, 806.97 and 467.72

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Solution

The fourth proportional to 585.35, 806.97 and 467.72 is: 644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.35 : 806.97 = 467.72 : x
  2. Step 2: Convert to fraction form
    585.35/806.97 = 467.72/x
  3. Step 3: Cross multiply
    585.35x = 806.97 × 467.72
  4. Step 4: Simplify right side
    585.35x = 377,436.75
  5. Step 5: Solve for x
    x = 377,436.75/585.35
  6. Step 6: Final answer
    x = 644.81

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