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Finding the Fourth Proportional to 602.94, 832.59 and 464.43

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Solution

The fourth proportional to 602.94, 832.59 and 464.43 is: 641.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.94 : 832.59 = 464.43 : x
  2. Step 2: Convert to fraction form
    602.94/832.59 = 464.43/x
  3. Step 3: Cross multiply
    602.94x = 832.59 × 464.43
  4. Step 4: Simplify right side
    602.94x = 386,679.77
  5. Step 5: Solve for x
    x = 386,679.77/602.94
  6. Step 6: Final answer
    x = 641.32

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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.