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Finding the Fourth Proportional to 604.98, 829.06 and 546.66

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Solution

The fourth proportional to 604.98, 829.06 and 546.66 is: 749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.98 : 829.06 = 546.66 : x
  2. Step 2: Convert to fraction form
    604.98/829.06 = 546.66/x
  3. Step 3: Cross multiply
    604.98x = 829.06 × 546.66
  4. Step 4: Simplify right side
    604.98x = 453,212.57
  5. Step 5: Solve for x
    x = 453,212.57/604.98
  6. Step 6: Final answer
    x = 749.14

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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.