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Finding the Fourth Proportional to 451.80, 623.13 and 294.26

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Solution

The fourth proportional to 451.80, 623.13 and 294.26 is: 405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.80 : 623.13 = 294.26 : x
  2. Step 2: Convert to fraction form
    451.80/623.13 = 294.26/x
  3. Step 3: Cross multiply
    451.80x = 623.13 × 294.26
  4. Step 4: Simplify right side
    451.80x = 183,359.12
  5. Step 5: Solve for x
    x = 183,359.12/451.80
  6. Step 6: Final answer
    x = 405.84

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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.