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Finding the Fourth Proportional to 419.59, 630.37 and 396.28

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Solution

The fourth proportional to 419.59, 630.37 and 396.28 is: 595.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.59 : 630.37 = 396.28 : x
  2. Step 2: Convert to fraction form
    419.59/630.37 = 396.28/x
  3. Step 3: Cross multiply
    419.59x = 630.37 × 396.28
  4. Step 4: Simplify right side
    419.59x = 249,799.87
  5. Step 5: Solve for x
    x = 249,799.87/419.59
  6. Step 6: Final answer
    x = 595.35

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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.