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Finding the Fourth Proportional to 495.58, 741.90 and 321.74

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Solution

The fourth proportional to 495.58, 741.90 and 321.74 is: 481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.58 : 741.90 = 321.74 : x
  2. Step 2: Convert to fraction form
    495.58/741.90 = 321.74/x
  3. Step 3: Cross multiply
    495.58x = 741.90 × 321.74
  4. Step 4: Simplify right side
    495.58x = 238,698.91
  5. Step 5: Solve for x
    x = 238,698.91/495.58
  6. Step 6: Final answer
    x = 481.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.