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Finding the Fourth Proportional to 275.32, 412.14 and 265.24

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Solution

The fourth proportional to 275.32, 412.14 and 265.24 is: 397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.32 : 412.14 = 265.24 : x
  2. Step 2: Convert to fraction form
    275.32/412.14 = 265.24/x
  3. Step 3: Cross multiply
    275.32x = 412.14 × 265.24
  4. Step 4: Simplify right side
    275.32x = 109,316.01
  5. Step 5: Solve for x
    x = 109,316.01/275.32
  6. Step 6: Final answer
    x = 397.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.