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Finding the Fourth Proportional to 355.46, 491.40 and 341.01

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Solution

The fourth proportional to 355.46, 491.40 and 341.01 is: 471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.46 : 491.40 = 341.01 : x
  2. Step 2: Convert to fraction form
    355.46/491.40 = 341.01/x
  3. Step 3: Cross multiply
    355.46x = 491.40 × 341.01
  4. Step 4: Simplify right side
    355.46x = 167,572.31
  5. Step 5: Solve for x
    x = 167,572.31/355.46
  6. Step 6: Final answer
    x = 471.43

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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.