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Finding the Fourth Proportional to 577.30, 867.16 and 490.62

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Solution

The fourth proportional to 577.30, 867.16 and 490.62 is: 736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.30 : 867.16 = 490.62 : x
  2. Step 2: Convert to fraction form
    577.30/867.16 = 490.62/x
  3. Step 3: Cross multiply
    577.30x = 867.16 × 490.62
  4. Step 4: Simplify right side
    577.30x = 425,446.04
  5. Step 5: Solve for x
    x = 425,446.04/577.30
  6. Step 6: Final answer
    x = 736.96

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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.