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Finding the Fourth Proportional to 623.90, 861.44 and 477.50

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Solution

The fourth proportional to 623.90, 861.44 and 477.50 is: 659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.90 : 861.44 = 477.50 : x
  2. Step 2: Convert to fraction form
    623.90/861.44 = 477.50/x
  3. Step 3: Cross multiply
    623.90x = 861.44 × 477.50
  4. Step 4: Simplify right side
    623.90x = 411,330.91
  5. Step 5: Solve for x
    x = 411,330.91/623.90
  6. Step 6: Final answer
    x = 659.29

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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.