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Finding the Fourth Proportional to 602.31, 829.89 and 405.48

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Solution

The fourth proportional to 602.31, 829.89 and 405.48 is: 558.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.31 : 829.89 = 405.48 : x
  2. Step 2: Convert to fraction form
    602.31/829.89 = 405.48/x
  3. Step 3: Cross multiply
    602.31x = 829.89 × 405.48
  4. Step 4: Simplify right side
    602.31x = 336,501.72
  5. Step 5: Solve for x
    x = 336,501.72/602.31
  6. Step 6: Final answer
    x = 558.69

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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.