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Finding the Fourth Proportional to 510.66, 704.71 and 277.78

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Solution

The fourth proportional to 510.66, 704.71 and 277.78 is: 383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.66 : 704.71 = 277.78 : x
  2. Step 2: Convert to fraction form
    510.66/704.71 = 277.78/x
  3. Step 3: Cross multiply
    510.66x = 704.71 × 277.78
  4. Step 4: Simplify right side
    510.66x = 195,754.34
  5. Step 5: Solve for x
    x = 195,754.34/510.66
  6. Step 6: Final answer
    x = 383.34

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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.