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Finding the Fourth Proportional to 566.52, 849.04 and 274.16

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Solution

The fourth proportional to 566.52, 849.04 and 274.16 is: 410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.52 : 849.04 = 274.16 : x
  2. Step 2: Convert to fraction form
    566.52/849.04 = 274.16/x
  3. Step 3: Cross multiply
    566.52x = 849.04 × 274.16
  4. Step 4: Simplify right side
    566.52x = 232,772.81
  5. Step 5: Solve for x
    x = 232,772.81/566.52
  6. Step 6: Final answer
    x = 410.88

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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.