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Finding the Fourth Proportional to 451.84, 623.20 and 304.32

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Solution

The fourth proportional to 451.84, 623.20 and 304.32 is: 419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.84 : 623.20 = 304.32 : x
  2. Step 2: Convert to fraction form
    451.84/623.20 = 304.32/x
  3. Step 3: Cross multiply
    451.84x = 623.20 × 304.32
  4. Step 4: Simplify right side
    451.84x = 189,652.22
  5. Step 5: Solve for x
    x = 189,652.22/451.84
  6. Step 6: Final answer
    x = 419.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.