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Finding the Fourth Proportional to 428.32, 590.97 and 288.69

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Solution

The fourth proportional to 428.32, 590.97 and 288.69 is: 398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.32 : 590.97 = 288.69 : x
  2. Step 2: Convert to fraction form
    428.32/590.97 = 288.69/x
  3. Step 3: Cross multiply
    428.32x = 590.97 × 288.69
  4. Step 4: Simplify right side
    428.32x = 170,607.13
  5. Step 5: Solve for x
    x = 170,607.13/428.32
  6. Step 6: Final answer
    x = 398.32

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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.