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Finding the Fourth Proportional to 410.62, 566.83 and 270.81

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Solution

The fourth proportional to 410.62, 566.83 and 270.81 is: 373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.62 : 566.83 = 270.81 : x
  2. Step 2: Convert to fraction form
    410.62/566.83 = 270.81/x
  3. Step 3: Cross multiply
    410.62x = 566.83 × 270.81
  4. Step 4: Simplify right side
    410.62x = 153,503.23
  5. Step 5: Solve for x
    x = 153,503.23/410.62
  6. Step 6: Final answer
    x = 373.83

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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.