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Finding the Fourth Proportional to 451.80, 623.14 and 304.36

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Solution

The fourth proportional to 451.80, 623.14 and 304.36 is: 419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.80 : 623.14 = 304.36 : x
  2. Step 2: Convert to fraction form
    451.80/623.14 = 304.36/x
  3. Step 3: Cross multiply
    451.80x = 623.14 × 304.36
  4. Step 4: Simplify right side
    451.80x = 189,658.89
  5. Step 5: Solve for x
    x = 189,658.89/451.80
  6. Step 6: Final answer
    x = 419.79

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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.