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Finding the Fourth Proportional to 546.33, 754.67 and 436.58

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Solution

The fourth proportional to 546.33, 754.67 and 436.58 is: 603.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.33 : 754.67 = 436.58 : x
  2. Step 2: Convert to fraction form
    546.33/754.67 = 436.58/x
  3. Step 3: Cross multiply
    546.33x = 754.67 × 436.58
  4. Step 4: Simplify right side
    546.33x = 329,471.15
  5. Step 5: Solve for x
    x = 329,471.15/546.33
  6. Step 6: Final answer
    x = 603.06

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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.