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Finding the Fourth Proportional to 602.39, 902.56 and 473.23

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Solution

The fourth proportional to 602.39, 902.56 and 473.23 is: 709.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.39 : 902.56 = 473.23 : x
  2. Step 2: Convert to fraction form
    602.39/902.56 = 473.23/x
  3. Step 3: Cross multiply
    602.39x = 902.56 × 473.23
  4. Step 4: Simplify right side
    602.39x = 427,118.47
  5. Step 5: Solve for x
    x = 427,118.47/602.39
  6. Step 6: Final answer
    x = 709.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.