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Finding the Fourth Proportional to 602.04, 829.58 and 462.15

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Solution

The fourth proportional to 602.04, 829.58 and 462.15 is: 636.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.04 : 829.58 = 462.15 : x
  2. Step 2: Convert to fraction form
    602.04/829.58 = 462.15/x
  3. Step 3: Cross multiply
    602.04x = 829.58 × 462.15
  4. Step 4: Simplify right side
    602.04x = 383,383.94
  5. Step 5: Solve for x
    x = 383,383.94/602.04
  6. Step 6: Final answer
    x = 636.81

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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.