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Finding the Fourth Proportional to 510.14, 704.00 and 277.27

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Solution

The fourth proportional to 510.14, 704.00 and 277.27 is: 382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.14 : 704.00 = 277.27 : x
  2. Step 2: Convert to fraction form
    510.14/704.00 = 277.27/x
  3. Step 3: Cross multiply
    510.14x = 704.00 × 277.27
  4. Step 4: Simplify right side
    510.14x = 195,193.61
  5. Step 5: Solve for x
    x = 195,193.61/510.14
  6. Step 6: Final answer
    x = 382.63

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1.5x scale

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.