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Finding the Fourth Proportional to 471.53, 703.50 and 419.55

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Solution

The fourth proportional to 471.53, 703.50 and 419.55 is: 625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.53 : 703.50 = 419.55 : x
  2. Step 2: Convert to fraction form
    471.53/703.50 = 419.55/x
  3. Step 3: Cross multiply
    471.53x = 703.50 × 419.55
  4. Step 4: Simplify right side
    471.53x = 295,155.00
  5. Step 5: Solve for x
    x = 295,155.00/471.53
  6. Step 6: Final answer
    x = 625.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.