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Finding the Fourth Proportional to 602.97, 832.39 and 468.08

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Solution

The fourth proportional to 602.97, 832.39 and 468.08 is: 646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.97 : 832.39 = 468.08 : x
  2. Step 2: Convert to fraction form
    602.97/832.39 = 468.08/x
  3. Step 3: Cross multiply
    602.97x = 832.39 × 468.08
  4. Step 4: Simplify right side
    602.97x = 389,620.95
  5. Step 5: Solve for x
    x = 389,620.95/602.97
  6. Step 6: Final answer
    x = 646.17

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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.