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Finding the Fourth Proportional to 420.60, 583.05 and 394.68

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Solution

The fourth proportional to 420.60, 583.05 and 394.68 is: 547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.60 : 583.05 = 394.68 : x
  2. Step 2: Convert to fraction form
    420.60/583.05 = 394.68/x
  3. Step 3: Cross multiply
    420.60x = 583.05 × 394.68
  4. Step 4: Simplify right side
    420.60x = 230,118.17
  5. Step 5: Solve for x
    x = 230,118.17/420.60
  6. Step 6: Final answer
    x = 547.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.