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Finding the Fourth Proportional to 624.40, 935.48 and 563.60

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Solution

The fourth proportional to 624.40, 935.48 and 563.60 is: 844.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.40 : 935.48 = 563.60 : x
  2. Step 2: Convert to fraction form
    624.40/935.48 = 563.60/x
  3. Step 3: Cross multiply
    624.40x = 935.48 × 563.60
  4. Step 4: Simplify right side
    624.40x = 527,236.53
  5. Step 5: Solve for x
    x = 527,236.53/624.40
  6. Step 6: Final answer
    x = 844.39

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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.