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Finding the Fourth Proportional to 406.07, 560.35 and 275.12

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Solution

The fourth proportional to 406.07, 560.35 and 275.12 is: 379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.07 : 560.35 = 275.12 : x
  2. Step 2: Convert to fraction form
    406.07/560.35 = 275.12/x
  3. Step 3: Cross multiply
    406.07x = 560.35 × 275.12
  4. Step 4: Simplify right side
    406.07x = 154,163.49
  5. Step 5: Solve for x
    x = 154,163.49/406.07
  6. Step 6: Final answer
    x = 379.65

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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.