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Finding the Fourth Proportional to 427.85, 590.33 and 288.23

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Solution

The fourth proportional to 427.85, 590.33 and 288.23 is: 397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.85 : 590.33 = 288.23 : x
  2. Step 2: Convert to fraction form
    427.85/590.33 = 288.23/x
  3. Step 3: Cross multiply
    427.85x = 590.33 × 288.23
  4. Step 4: Simplify right side
    427.85x = 170,146.42
  5. Step 5: Solve for x
    x = 170,146.42/427.85
  6. Step 6: Final answer
    x = 397.68

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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.