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Finding the Fourth Proportional to 623.25, 860.49 and 390.78

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Solution

The fourth proportional to 623.25, 860.49 and 390.78 is: 539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.25 : 860.49 = 390.78 : x
  2. Step 2: Convert to fraction form
    623.25/860.49 = 390.78/x
  3. Step 3: Cross multiply
    623.25x = 860.49 × 390.78
  4. Step 4: Simplify right side
    623.25x = 336,262.28
  5. Step 5: Solve for x
    x = 336,262.28/623.25
  6. Step 6: Final answer
    x = 539.53

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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.