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Finding the Fourth Proportional to 546.41, 815.00 and 464.33

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Solution

The fourth proportional to 546.41, 815.00 and 464.33 is: 692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.41 : 815.00 = 464.33 : x
  2. Step 2: Convert to fraction form
    546.41/815.00 = 464.33/x
  3. Step 3: Cross multiply
    546.41x = 815.00 × 464.33
  4. Step 4: Simplify right side
    546.41x = 378,422.55
  5. Step 5: Solve for x
    x = 378,422.55/546.41
  6. Step 6: Final answer
    x = 692.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.