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Finding the Fourth Proportional to 428.28, 590.25 and 311.64

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Solution

The fourth proportional to 428.28, 590.25 and 311.64 is: 429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.28 : 590.25 = 311.64 : x
  2. Step 2: Convert to fraction form
    428.28/590.25 = 311.64/x
  3. Step 3: Cross multiply
    428.28x = 590.25 × 311.64
  4. Step 4: Simplify right side
    428.28x = 183,945.51
  5. Step 5: Solve for x
    x = 183,945.51/428.28
  6. Step 6: Final answer
    x = 429.50

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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.