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Finding the Fourth Proportional to 623.93, 861.02 and 344.17

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Solution

The fourth proportional to 623.93, 861.02 and 344.17 is: 474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.93 : 861.02 = 344.17 : x
  2. Step 2: Convert to fraction form
    623.93/861.02 = 344.17/x
  3. Step 3: Cross multiply
    623.93x = 861.02 × 344.17
  4. Step 4: Simplify right side
    623.93x = 296,335.10
  5. Step 5: Solve for x
    x = 296,335.10/623.93
  6. Step 6: Final answer
    x = 474.95

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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.