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Finding the Fourth Proportional to 648.60, 973.80 and 405.60

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Solution

The fourth proportional to 648.60, 973.80 and 405.60 is: 608.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.60 : 973.80 = 405.60 : x
  2. Step 2: Convert to fraction form
    648.60/973.80 = 405.60/x
  3. Step 3: Cross multiply
    648.60x = 973.80 × 405.60
  4. Step 4: Simplify right side
    648.60x = 394,973.28
  5. Step 5: Solve for x
    x = 394,973.28/648.60
  6. Step 6: Final answer
    x = 608.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.