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Finding the Fourth Proportional to 357.22, 491.95 and 356.17

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Solution

The fourth proportional to 357.22, 491.95 and 356.17 is: 490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.22 : 491.95 = 356.17 : x
  2. Step 2: Convert to fraction form
    357.22/491.95 = 356.17/x
  3. Step 3: Cross multiply
    357.22x = 491.95 × 356.17
  4. Step 4: Simplify right side
    357.22x = 175,218.35
  5. Step 5: Solve for x
    x = 175,218.35/357.22
  6. Step 6: Final answer
    x = 490.51

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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.