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Finding the Fourth Proportional to 580.84, 800.22 and 464.20

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Solution

The fourth proportional to 580.84, 800.22 and 464.20 is: 639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.84 : 800.22 = 464.20 : x
  2. Step 2: Convert to fraction form
    580.84/800.22 = 464.20/x
  3. Step 3: Cross multiply
    580.84x = 800.22 × 464.20
  4. Step 4: Simplify right side
    580.84x = 371,462.12
  5. Step 5: Solve for x
    x = 371,462.12/580.84
  6. Step 6: Final answer
    x = 639.53

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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.