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Finding the Fourth Proportional to 546.99, 754.43 and 436.02

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Solution

The fourth proportional to 546.99, 754.43 and 436.02 is: 601.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.99 : 754.43 = 436.02 : x
  2. Step 2: Convert to fraction form
    546.99/754.43 = 436.02/x
  3. Step 3: Cross multiply
    546.99x = 754.43 × 436.02
  4. Step 4: Simplify right side
    546.99x = 328,944.39
  5. Step 5: Solve for x
    x = 328,944.39/546.99
  6. Step 6: Final answer
    x = 601.37

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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.