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Finding the Fourth Proportional to 946.60, 1,420.11 and 398.47

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Solution

The fourth proportional to 946.60, 1,420.11 and 398.47 is: 597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.60 : 1,420.11 = 398.47 : x
  2. Step 2: Convert to fraction form
    946.60/1,420.11 = 398.47/x
  3. Step 3: Cross multiply
    946.60x = 1,420.11 × 398.47
  4. Step 4: Simplify right side
    946.60x = 565,871.23
  5. Step 5: Solve for x
    x = 565,871.23/946.60
  6. Step 6: Final answer
    x = 597.79

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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.