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Finding the Fourth Proportional to 578.56, 797.65 and 460.94

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Solution

The fourth proportional to 578.56, 797.65 and 460.94 is: 635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.56 : 797.65 = 460.94 : x
  2. Step 2: Convert to fraction form
    578.56/797.65 = 460.94/x
  3. Step 3: Cross multiply
    578.56x = 797.65 × 460.94
  4. Step 4: Simplify right side
    578.56x = 367,668.79
  5. Step 5: Solve for x
    x = 367,668.79/578.56
  6. Step 6: Final answer
    x = 635.49

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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.