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Finding the Fourth Proportional to 602.34, 905.04 and 537.96

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Solution

The fourth proportional to 602.34, 905.04 and 537.96 is: 808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.34 : 905.04 = 537.96 : x
  2. Step 2: Convert to fraction form
    602.34/905.04 = 537.96/x
  3. Step 3: Cross multiply
    602.34x = 905.04 × 537.96
  4. Step 4: Simplify right side
    602.34x = 486,875.32
  5. Step 5: Solve for x
    x = 486,875.32/602.34
  6. Step 6: Final answer
    x = 808.31

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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.