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Finding the Fourth Proportional to 655.92, 905.88 and 510.30

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Solution

The fourth proportional to 655.92, 905.88 and 510.30 is: 704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.92 : 905.88 = 510.30 : x
  2. Step 2: Convert to fraction form
    655.92/905.88 = 510.30/x
  3. Step 3: Cross multiply
    655.92x = 905.88 × 510.30
  4. Step 4: Simplify right side
    655.92x = 462,270.56
  5. Step 5: Solve for x
    x = 462,270.56/655.92
  6. Step 6: Final answer
    x = 704.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.