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Finding the Fourth Proportional to 410.48, 566.28 and 270.42

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Solution

The fourth proportional to 410.48, 566.28 and 270.42 is: 373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.48 : 566.28 = 270.42 : x
  2. Step 2: Convert to fraction form
    410.48/566.28 = 270.42/x
  3. Step 3: Cross multiply
    410.48x = 566.28 × 270.42
  4. Step 4: Simplify right side
    410.48x = 153,133.44
  5. Step 5: Solve for x
    x = 153,133.44/410.48
  6. Step 6: Final answer
    x = 373.06

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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.