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Finding the Fourth Proportional to 341.34, 469.96 and 271.16

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Solution

The fourth proportional to 341.34, 469.96 and 271.16 is: 373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.34 : 469.96 = 271.16 : x
  2. Step 2: Convert to fraction form
    341.34/469.96 = 271.16/x
  3. Step 3: Cross multiply
    341.34x = 469.96 × 271.16
  4. Step 4: Simplify right side
    341.34x = 127,434.35
  5. Step 5: Solve for x
    x = 127,434.35/341.34
  6. Step 6: Final answer
    x = 373.34

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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.