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Finding the Fourth Proportional to 419.43, 577.40 and 345.63

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Solution

The fourth proportional to 419.43, 577.40 and 345.63 is: 475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.43 : 577.40 = 345.63 : x
  2. Step 2: Convert to fraction form
    419.43/577.40 = 345.63/x
  3. Step 3: Cross multiply
    419.43x = 577.40 × 345.63
  4. Step 4: Simplify right side
    419.43x = 199,565.03
  5. Step 5: Solve for x
    x = 199,565.03/419.43
  6. Step 6: Final answer
    x = 475.80

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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.