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Finding the Fourth Proportional to 410.90, 566.84 and 269.14

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Solution

The fourth proportional to 410.90, 566.84 and 269.14 is: 371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.90 : 566.84 = 269.14 : x
  2. Step 2: Convert to fraction form
    410.90/566.84 = 269.14/x
  3. Step 3: Cross multiply
    410.90x = 566.84 × 269.14
  4. Step 4: Simplify right side
    410.90x = 152,559.32
  5. Step 5: Solve for x
    x = 152,559.32/410.90
  6. Step 6: Final answer
    x = 371.28

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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.