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Finding the Fourth Proportional to 556.27, 829.42 and 534.87

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Solution

The fourth proportional to 556.27, 829.42 and 534.87 is: 797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.27 : 829.42 = 534.87 : x
  2. Step 2: Convert to fraction form
    556.27/829.42 = 534.87/x
  3. Step 3: Cross multiply
    556.27x = 829.42 × 534.87
  4. Step 4: Simplify right side
    556.27x = 443,631.88
  5. Step 5: Solve for x
    x = 443,631.88/556.27
  6. Step 6: Final answer
    x = 797.51

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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.