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Finding the Fourth Proportional to 510.84, 704.96 and 277.98

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Solution

The fourth proportional to 510.84, 704.96 and 277.98 is: 383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.84 : 704.96 = 277.98 : x
  2. Step 2: Convert to fraction form
    510.84/704.96 = 277.98/x
  3. Step 3: Cross multiply
    510.84x = 704.96 × 277.98
  4. Step 4: Simplify right side
    510.84x = 195,964.78
  5. Step 5: Solve for x
    x = 195,964.78/510.84
  6. Step 6: Final answer
    x = 383.61

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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.