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Finding the Fourth Proportional to 510.13, 703.99 and 277.27

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Solution

The fourth proportional to 510.13, 703.99 and 277.27 is: 382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.13 : 703.99 = 277.27 : x
  2. Step 2: Convert to fraction form
    510.13/703.99 = 277.27/x
  3. Step 3: Cross multiply
    510.13x = 703.99 × 277.27
  4. Step 4: Simplify right side
    510.13x = 195,191.79
  5. Step 5: Solve for x
    x = 195,191.79/510.13
  6. Step 6: Final answer
    x = 382.64

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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.