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Finding the Fourth Proportional to 580.52, 797.71 and 463.88

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Solution

The fourth proportional to 580.52, 797.71 and 463.88 is: 637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.52 : 797.71 = 463.88 : x
  2. Step 2: Convert to fraction form
    580.52/797.71 = 463.88/x
  3. Step 3: Cross multiply
    580.52x = 797.71 × 463.88
  4. Step 4: Simplify right side
    580.52x = 370,041.71
  5. Step 5: Solve for x
    x = 370,041.71/580.52
  6. Step 6: Final answer
    x = 637.43

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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.