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Finding the Fourth Proportional to 419.68, 626.54 and 354.88

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Solution

The fourth proportional to 419.68, 626.54 and 354.88 is: 529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.68 : 626.54 = 354.88 : x
  2. Step 2: Convert to fraction form
    419.68/626.54 = 354.88/x
  3. Step 3: Cross multiply
    419.68x = 626.54 × 354.88
  4. Step 4: Simplify right side
    419.68x = 222,346.52
  5. Step 5: Solve for x
    x = 222,346.52/419.68
  6. Step 6: Final answer
    x = 529.80

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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.