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Finding the Fourth Proportional to 410.21, 566.27 and 270.40

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Solution

The fourth proportional to 410.21, 566.27 and 270.40 is: 373.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.21 : 566.27 = 270.40 : x
  2. Step 2: Convert to fraction form
    410.21/566.27 = 270.40/x
  3. Step 3: Cross multiply
    410.21x = 566.27 × 270.40
  4. Step 4: Simplify right side
    410.21x = 153,119.41
  5. Step 5: Solve for x
    x = 153,119.41/410.21
  6. Step 6: Final answer
    x = 373.27

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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.