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Finding the Fourth Proportional to 428.25, 590.76 and 288.13

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Solution

The fourth proportional to 428.25, 590.76 and 288.13 is: 397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.25 : 590.76 = 288.13 : x
  2. Step 2: Convert to fraction form
    428.25/590.76 = 288.13/x
  3. Step 3: Cross multiply
    428.25x = 590.76 × 288.13
  4. Step 4: Simplify right side
    428.25x = 170,214.20
  5. Step 5: Solve for x
    x = 170,214.20/428.25
  6. Step 6: Final answer
    x = 397.46

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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.