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Finding the Fourth Proportional to 602.30, 829.34 and 546.70

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Solution

The fourth proportional to 602.30, 829.34 and 546.70 is: 752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.30 : 829.34 = 546.70 : x
  2. Step 2: Convert to fraction form
    602.30/829.34 = 546.70/x
  3. Step 3: Cross multiply
    602.30x = 829.34 × 546.70
  4. Step 4: Simplify right side
    602.30x = 453,400.18
  5. Step 5: Solve for x
    x = 453,400.18/602.30
  6. Step 6: Final answer
    x = 752.78

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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.