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Finding the Fourth Proportional to 623.24, 935.12 and 276.40

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Solution

The fourth proportional to 623.24, 935.12 and 276.40 is: 414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.24 : 935.12 = 276.40 : x
  2. Step 2: Convert to fraction form
    623.24/935.12 = 276.40/x
  3. Step 3: Cross multiply
    623.24x = 935.12 × 276.40
  4. Step 4: Simplify right side
    623.24x = 258,467.17
  5. Step 5: Solve for x
    x = 258,467.17/623.24
  6. Step 6: Final answer
    x = 414.72

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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.