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Finding the Fourth Proportional to 602.85, 832.52 and 416.82

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Solution

The fourth proportional to 602.85, 832.52 and 416.82 is: 575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.85 : 832.52 = 416.82 : x
  2. Step 2: Convert to fraction form
    602.85/832.52 = 416.82/x
  3. Step 3: Cross multiply
    602.85x = 832.52 × 416.82
  4. Step 4: Simplify right side
    602.85x = 347,010.99
  5. Step 5: Solve for x
    x = 347,010.99/602.85
  6. Step 6: Final answer
    x = 575.62

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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.