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Finding the Fourth Proportional to 623.06, 934.68 and 298.36

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Solution

The fourth proportional to 623.06, 934.68 and 298.36 is: 447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.06 : 934.68 = 298.36 : x
  2. Step 2: Convert to fraction form
    623.06/934.68 = 298.36/x
  3. Step 3: Cross multiply
    623.06x = 934.68 × 298.36
  4. Step 4: Simplify right side
    623.06x = 278,871.12
  5. Step 5: Solve for x
    x = 278,871.12/623.06
  6. Step 6: Final answer
    x = 447.58

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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.