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Finding the Fourth Proportional to 428.47, 591.19 and 279.07

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Solution

The fourth proportional to 428.47, 591.19 and 279.07 is: 385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.47 : 591.19 = 279.07 : x
  2. Step 2: Convert to fraction form
    428.47/591.19 = 279.07/x
  3. Step 3: Cross multiply
    428.47x = 591.19 × 279.07
  4. Step 4: Simplify right side
    428.47x = 164,985.03
  5. Step 5: Solve for x
    x = 164,985.03/428.47
  6. Step 6: Final answer
    x = 385.06

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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.