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Finding the Fourth Proportional to 623.04, 934.16 and 276.48

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Solution

The fourth proportional to 623.04, 934.16 and 276.48 is: 414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.04 : 934.16 = 276.48 : x
  2. Step 2: Convert to fraction form
    623.04/934.16 = 276.48/x
  3. Step 3: Cross multiply
    623.04x = 934.16 × 276.48
  4. Step 4: Simplify right side
    623.04x = 258,276.56
  5. Step 5: Solve for x
    x = 258,276.56/623.04
  6. Step 6: Final answer
    x = 414.54

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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.