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Finding the Fourth Proportional to 602.96, 832.24 and 406.80

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Solution

The fourth proportional to 602.96, 832.24 and 406.80 is: 561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.96 : 832.24 = 406.80 : x
  2. Step 2: Convert to fraction form
    602.96/832.24 = 406.80/x
  3. Step 3: Cross multiply
    602.96x = 832.24 × 406.80
  4. Step 4: Simplify right side
    602.96x = 338,555.23
  5. Step 5: Solve for x
    x = 338,555.23/602.96
  6. Step 6: Final answer
    x = 561.49

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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.