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Finding the Fourth Proportional to 313.58, 467.13 and 304.02

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Solution

The fourth proportional to 313.58, 467.13 and 304.02 is: 452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.58 : 467.13 = 304.02 : x
  2. Step 2: Convert to fraction form
    313.58/467.13 = 304.02/x
  3. Step 3: Cross multiply
    313.58x = 467.13 × 304.02
  4. Step 4: Simplify right side
    313.58x = 142,016.86
  5. Step 5: Solve for x
    x = 142,016.86/313.58
  6. Step 6: Final answer
    x = 452.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.