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Finding the Fourth Proportional to 579.02, 795.66 and 462.38

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Solution

The fourth proportional to 579.02, 795.66 and 462.38 is: 635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.02 : 795.66 = 462.38 : x
  2. Step 2: Convert to fraction form
    579.02/795.66 = 462.38/x
  3. Step 3: Cross multiply
    579.02x = 795.66 × 462.38
  4. Step 4: Simplify right side
    579.02x = 367,894.96
  5. Step 5: Solve for x
    x = 367,894.96/579.02
  6. Step 6: Final answer
    x = 635.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.