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Finding the Fourth Proportional to 406.36, 560.13 and 275.14

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Solution

The fourth proportional to 406.36, 560.13 and 275.14 is: 379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.36 : 560.13 = 275.14 : x
  2. Step 2: Convert to fraction form
    406.36/560.13 = 275.14/x
  3. Step 3: Cross multiply
    406.36x = 560.13 × 275.14
  4. Step 4: Simplify right side
    406.36x = 154,114.17
  5. Step 5: Solve for x
    x = 154,114.17/406.36
  6. Step 6: Final answer
    x = 379.26

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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.