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Finding the Fourth Proportional to 510.10, 703.94 and 277.23

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Solution

The fourth proportional to 510.10, 703.94 and 277.23 is: 382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.10 : 703.94 = 277.23 : x
  2. Step 2: Convert to fraction form
    510.10/703.94 = 277.23/x
  3. Step 3: Cross multiply
    510.10x = 703.94 × 277.23
  4. Step 4: Simplify right side
    510.10x = 195,149.98
  5. Step 5: Solve for x
    x = 195,149.98/510.10
  6. Step 6: Final answer
    x = 382.57

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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.