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Finding the Fourth Proportional to 510.61, 704.51 and 300.79

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Solution

The fourth proportional to 510.61, 704.51 and 300.79 is: 415.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.61 : 704.51 = 300.79 : x
  2. Step 2: Convert to fraction form
    510.61/704.51 = 300.79/x
  3. Step 3: Cross multiply
    510.61x = 704.51 × 300.79
  4. Step 4: Simplify right side
    510.61x = 211,906.30
  5. Step 5: Solve for x
    x = 211,906.30/510.61
  6. Step 6: Final answer
    x = 415.01

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Why These Related Problems?

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