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Finding the Fourth Proportional to 427.88, 590.48 and 253.26

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Solution

The fourth proportional to 427.88, 590.48 and 253.26 is: 349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.88 : 590.48 = 253.26 : x
  2. Step 2: Convert to fraction form
    427.88/590.48 = 253.26/x
  3. Step 3: Cross multiply
    427.88x = 590.48 × 253.26
  4. Step 4: Simplify right side
    427.88x = 149,543.70
  5. Step 5: Solve for x
    x = 149,543.70/427.88
  6. Step 6: Final answer
    x = 349.50

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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.