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Finding the Fourth Proportional to 355.86, 490.86 and 313.74

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Solution

The fourth proportional to 355.86, 490.86 and 313.74 is: 432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.86 : 490.86 = 313.74 : x
  2. Step 2: Convert to fraction form
    355.86/490.86 = 313.74/x
  3. Step 3: Cross multiply
    355.86x = 490.86 × 313.74
  4. Step 4: Simplify right side
    355.86x = 154,002.42
  5. Step 5: Solve for x
    x = 154,002.42/355.86
  6. Step 6: Final answer
    x = 432.76

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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.