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Finding the Fourth Proportional to 623.11, 934.45 and 184.24

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Solution

The fourth proportional to 623.11, 934.45 and 184.24 is: 276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.11 : 934.45 = 184.24 : x
  2. Step 2: Convert to fraction form
    623.11/934.45 = 184.24/x
  3. Step 3: Cross multiply
    623.11x = 934.45 × 184.24
  4. Step 4: Simplify right side
    623.11x = 172,166.06
  5. Step 5: Solve for x
    x = 172,166.06/623.11
  6. Step 6: Final answer
    x = 276.30

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