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Finding the Fourth Proportional to 510.16, 704.01 and 277.29

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Solution

The fourth proportional to 510.16, 704.01 and 277.29 is: 382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.16 : 704.01 = 277.29 : x
  2. Step 2: Convert to fraction form
    510.16/704.01 = 277.29/x
  3. Step 3: Cross multiply
    510.16x = 704.01 × 277.29
  4. Step 4: Simplify right side
    510.16x = 195,214.93
  5. Step 5: Solve for x
    x = 195,214.93/510.16
  6. Step 6: Final answer
    x = 382.65

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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.