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Finding the Fourth Proportional to 604.40, 905.52 and 580.64

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Solution

The fourth proportional to 604.40, 905.52 and 580.64 is: 869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.40 : 905.52 = 580.64 : x
  2. Step 2: Convert to fraction form
    604.40/905.52 = 580.64/x
  3. Step 3: Cross multiply
    604.40x = 905.52 × 580.64
  4. Step 4: Simplify right side
    604.40x = 525,781.13
  5. Step 5: Solve for x
    x = 525,781.13/604.40
  6. Step 6: Final answer
    x = 869.92

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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.