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Finding the Fourth Proportional to 623.87, 860.93 and 344.13

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Solution

The fourth proportional to 623.87, 860.93 and 344.13 is: 474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.87 : 860.93 = 344.13 : x
  2. Step 2: Convert to fraction form
    623.87/860.93 = 344.13/x
  3. Step 3: Cross multiply
    623.87x = 860.93 × 344.13
  4. Step 4: Simplify right side
    623.87x = 296,268.18
  5. Step 5: Solve for x
    x = 296,268.18/623.87
  6. Step 6: Final answer
    x = 474.89

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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.