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Finding the Fourth Proportional to 428.24, 590.52 and 296.96

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Solution

The fourth proportional to 428.24, 590.52 and 296.96 is: 409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.24 : 590.52 = 296.96 : x
  2. Step 2: Convert to fraction form
    428.24/590.52 = 296.96/x
  3. Step 3: Cross multiply
    428.24x = 590.52 × 296.96
  4. Step 4: Simplify right side
    428.24x = 175,360.82
  5. Step 5: Solve for x
    x = 175,360.82/428.24
  6. Step 6: Final answer
    x = 409.49

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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.