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Finding the Fourth Proportional to 618.53, 852.50 and 566.21

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Solution

The fourth proportional to 618.53, 852.50 and 566.21 is: 780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.53 : 852.50 = 566.21 : x
  2. Step 2: Convert to fraction form
    618.53/852.50 = 566.21/x
  3. Step 3: Cross multiply
    618.53x = 852.50 × 566.21
  4. Step 4: Simplify right side
    618.53x = 482,686.93
  5. Step 5: Solve for x
    x = 482,686.93/618.53
  6. Step 6: Final answer
    x = 780.38

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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.