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Finding the Fourth Proportional to 548.66, 817.51 and 527.70

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Solution

The fourth proportional to 548.66, 817.51 and 527.70 is: 786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.66 : 817.51 = 527.70 : x
  2. Step 2: Convert to fraction form
    548.66/817.51 = 527.70/x
  3. Step 3: Cross multiply
    548.66x = 817.51 × 527.70
  4. Step 4: Simplify right side
    548.66x = 431,400.03
  5. Step 5: Solve for x
    x = 431,400.03/548.66
  6. Step 6: Final answer
    x = 786.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.