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Finding the Fourth Proportional to 341.46, 509.88 and 271.26

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Solution

The fourth proportional to 341.46, 509.88 and 271.26 is: 405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.46 : 509.88 = 271.26 : x
  2. Step 2: Convert to fraction form
    341.46/509.88 = 271.26/x
  3. Step 3: Cross multiply
    341.46x = 509.88 × 271.26
  4. Step 4: Simplify right side
    341.46x = 138,308.69
  5. Step 5: Solve for x
    x = 138,308.69/341.46
  6. Step 6: Final answer
    x = 405.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.