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Finding the Fourth Proportional to 591.64, 816.86 and 460.44

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Solution

The fourth proportional to 591.64, 816.86 and 460.44 is: 635.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.64 : 816.86 = 460.44 : x
  2. Step 2: Convert to fraction form
    591.64/816.86 = 460.44/x
  3. Step 3: Cross multiply
    591.64x = 816.86 × 460.44
  4. Step 4: Simplify right side
    591.64x = 376,115.02
  5. Step 5: Solve for x
    x = 376,115.02/591.64
  6. Step 6: Final answer
    x = 635.72

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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.