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Finding the Fourth Proportional to 510.54, 704.54 and 277.66

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Solution

The fourth proportional to 510.54, 704.54 and 277.66 is: 383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.54 : 704.54 = 277.66 : x
  2. Step 2: Convert to fraction form
    510.54/704.54 = 277.66/x
  3. Step 3: Cross multiply
    510.54x = 704.54 × 277.66
  4. Step 4: Simplify right side
    510.54x = 195,621.19
  5. Step 5: Solve for x
    x = 195,621.19/510.54
  6. Step 6: Final answer
    x = 383.17

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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.