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Finding the Fourth Proportional to 341.14, 470.65 and 262.48

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Solution

The fourth proportional to 341.14, 470.65 and 262.48 is: 362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.14 : 470.65 = 262.48 : x
  2. Step 2: Convert to fraction form
    341.14/470.65 = 262.48/x
  3. Step 3: Cross multiply
    341.14x = 470.65 × 262.48
  4. Step 4: Simplify right side
    341.14x = 123,536.21
  5. Step 5: Solve for x
    x = 123,536.21/341.14
  6. Step 6: Final answer
    x = 362.13

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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.