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Finding the Fourth Proportional to 584.70, 806.52 and 460.16

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Solution

The fourth proportional to 584.70, 806.52 and 460.16 is: 634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.70 : 806.52 = 460.16 : x
  2. Step 2: Convert to fraction form
    584.70/806.52 = 460.16/x
  3. Step 3: Cross multiply
    584.70x = 806.52 × 460.16
  4. Step 4: Simplify right side
    584.70x = 371,128.24
  5. Step 5: Solve for x
    x = 371,128.24/584.70
  6. Step 6: Final answer
    x = 634.73

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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.