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Finding the Fourth Proportional to 580.02, 797.03 and 463.38

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Solution

The fourth proportional to 580.02, 797.03 and 463.38 is: 636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.02 : 797.03 = 463.38 : x
  2. Step 2: Convert to fraction form
    580.02/797.03 = 463.38/x
  3. Step 3: Cross multiply
    580.02x = 797.03 × 463.38
  4. Step 4: Simplify right side
    580.02x = 369,325.44
  5. Step 5: Solve for x
    x = 369,325.44/580.02
  6. Step 6: Final answer
    x = 636.75

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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.