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Finding the Fourth Proportional to 428.24, 591.24 and 297.20

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Solution

The fourth proportional to 428.24, 591.24 and 297.20 is: 410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.24 : 591.24 = 297.20 : x
  2. Step 2: Convert to fraction form
    428.24/591.24 = 297.20/x
  3. Step 3: Cross multiply
    428.24x = 591.24 × 297.20
  4. Step 4: Simplify right side
    428.24x = 175,716.53
  5. Step 5: Solve for x
    x = 175,716.53/428.24
  6. Step 6: Final answer
    x = 410.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.