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Finding the Fourth Proportional to 566.16, 849.29 and 273.99

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Solution

The fourth proportional to 566.16, 849.29 and 273.99 is: 411.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.16 : 849.29 = 273.99 : x
  2. Step 2: Convert to fraction form
    566.16/849.29 = 273.99/x
  3. Step 3: Cross multiply
    566.16x = 849.29 × 273.99
  4. Step 4: Simplify right side
    566.16x = 232,696.97
  5. Step 5: Solve for x
    x = 232,696.97/566.16
  6. Step 6: Final answer
    x = 411.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.