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Finding the Fourth Proportional to 623.88, 861.00 and 344.14

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Solution

The fourth proportional to 623.88, 861.00 and 344.14 is: 474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.88 : 861.00 = 344.14 : x
  2. Step 2: Convert to fraction form
    623.88/861.00 = 344.14/x
  3. Step 3: Cross multiply
    623.88x = 861.00 × 344.14
  4. Step 4: Simplify right side
    623.88x = 296,306.42
  5. Step 5: Solve for x
    x = 296,306.42/623.88
  6. Step 6: Final answer
    x = 474.94

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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.