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Finding the Fourth Proportional to 355.96, 490.02 and 312.22

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Solution

The fourth proportional to 355.96, 490.02 and 312.22 is: 429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.96 : 490.02 = 312.22 : x
  2. Step 2: Convert to fraction form
    355.96/490.02 = 312.22/x
  3. Step 3: Cross multiply
    355.96x = 490.02 × 312.22
  4. Step 4: Simplify right side
    355.96x = 152,994.04
  5. Step 5: Solve for x
    x = 152,994.04/355.96
  6. Step 6: Final answer
    x = 429.81

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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.