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Finding the Fourth Proportional to 411.04, 566.91 and 261.70

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Solution

The fourth proportional to 411.04, 566.91 and 261.70 is: 360.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.04 : 566.91 = 261.70 : x
  2. Step 2: Convert to fraction form
    411.04/566.91 = 261.70/x
  3. Step 3: Cross multiply
    411.04x = 566.91 × 261.70
  4. Step 4: Simplify right side
    411.04x = 148,358.93
  5. Step 5: Solve for x
    x = 148,358.93/411.04
  6. Step 6: Final answer
    x = 360.93

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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.