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Finding the Fourth Proportional to 510.56, 704.48 and 300.91

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Solution

The fourth proportional to 510.56, 704.48 and 300.91 is: 415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.56 : 704.48 = 300.91 : x
  2. Step 2: Convert to fraction form
    510.56/704.48 = 300.91/x
  3. Step 3: Cross multiply
    510.56x = 704.48 × 300.91
  4. Step 4: Simplify right side
    510.56x = 211,984.07
  5. Step 5: Solve for x
    x = 211,984.07/510.56
  6. Step 6: Final answer
    x = 415.20

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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.