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Finding the Fourth Proportional to 566.59, 849.49 and 274.08

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Solution

The fourth proportional to 566.59, 849.49 and 274.08 is: 410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.59 : 849.49 = 274.08 : x
  2. Step 2: Convert to fraction form
    566.59/849.49 = 274.08/x
  3. Step 3: Cross multiply
    566.59x = 849.49 × 274.08
  4. Step 4: Simplify right side
    566.59x = 232,822.60
  5. Step 5: Solve for x
    x = 232,822.60/566.59
  6. Step 6: Final answer
    x = 410.92

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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.