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Finding the Fourth Proportional to 438.24, 604.56 and 251.64

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Solution

The fourth proportional to 438.24, 604.56 and 251.64 is: 347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.24 : 604.56 = 251.64 : x
  2. Step 2: Convert to fraction form
    438.24/604.56 = 251.64/x
  3. Step 3: Cross multiply
    438.24x = 604.56 × 251.64
  4. Step 4: Simplify right side
    438.24x = 152,131.48
  5. Step 5: Solve for x
    x = 152,131.48/438.24
  6. Step 6: Final answer
    x = 347.14

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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.